Ela is planning her retirement and needs a pension that will pay her $$12\mathrm{.}000$ one year from now and annual payments for $24$ more years that are each $5\%$ larger than the previous year, if the funds in her Retirement Fund earn $7\mathrm{.}5\%$ compounded annually, how much money must she have there now? $5188\mathrm{.}490$ $$266\mathrm{.}5405532\mathrm{.}8425213,460$