In the month of April to June \(2022\), the exports of cars from India increased by \(26 \%\) in the corresponding quarter of \(2021 - 22\), as per a report. A car manufacturing company planned to produce \(1800\) cars in \(4\)th year and \(3000\) cars in \(10\)th year. Assuming that the production increases uniformly by a fixed number every year.
Based on the above information, answer the following questions.
(a) Calculate the production in the \(1\)st year.
(b) Calculate the production in the \(12\)th year.
(c) Calculate the total production in the first \(10\) years.
(d) In how many years will the total production reach \(21000\) cars?