Beginning three months from now, you want to be able to withdraw $$2,500$ each quarter from your bank account to cover college expenses over the next $4$ years. If the account pays $\mathrm{.}47$ percent interest per quarter, how much do you need to have in your bank account today to meet your expense needs over the next $4$ years? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Amount needed