The phrase "any amount with which" is correct and usable in written English.
It can be used when discussing a quantity or degree in relation to something else, often in a formal or legal context.
Example: "The contract stipulates that any amount with which the party is dissatisfied must be reported within 30 days."
Alternatives: "any quantity that" or "any sum that".
The criterion was not how much each company needed, but what was the minimum amount with which a company could survive.
Mr. Sargent, Mr. Smith and a third partner, Wally Morrison, soon formed the Sherburne Corporation and raised $80,000, a relatively small amount with which to start a resort.
In this kind of tree, horizontal axis includes number of data and vertical axis shows the amount with which different clusters associate with each other to form new clusters.
Bhaskar's wealth is seized by The Government of Uganda and he is left with the same amount with which he ran away from Rajasekhar's house when he assisted him in the past.
The amount with which a cell's stiffness is reduced after it has died is arbitrary, but enough to show that remodelling indeed influences damage development in muscle tissue.
It is important though, to pay attention to the amount with which we busy ourselves with enjoyment.
Often the obscene amounts with which these people make off are mistakenly called "earnings".
There is, after all, a fair amount here with which you wouldn't want to be associated: even by Kumar's lowly standards, it's pretty inane stuff.
According to the San Francisco Chronicle, "During a debate Thursday night, McCaskill criticized Akin for supporting proposals that she said amounted to "privatizing Medicare" by giving future retirees a fixed amount of money with which to purchase private medical insurance.
Any trade with the Rangers would include a significant amount of money, with which Patrick could apply to his free-agent negotiations.
He insisted: "It's an amount of money with which they can do some significant work".
