The terms of a single parent's will indicate that a child will receive an ordinary annuity of $$10,000$ per year from age $18$ to age $24($so that the child can attend college$)$ and that the balance of the estate goes to a niece. If the parent dies on the child's $10$ th birthday, how much money must be removed from the estate to purchase the annuity? $($Assume an interest rate of $7\%,$ compounded annually. Round your answer to the nearest cent.$)$