A contractual arrangement requires payments of $$10,000$ on $7$ October $2019$ and $$7,000$ on $7$

October $2024.$ What is an equivalent single amount payable on $7$ October $2026$ at an interest rate

of $12\%$ p$.$a$.$ compounding quarterly?

$$22,879\mathrm{.}28$

$$21,535\mathrm{.}09$

$$29,879\mathrm{.}28$

$$31,746\mathrm{.}67$