In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
1, 19, ['6323', '5773', '213', 'U', 'r', '535', '8299', '2387', '5251', '4651', '1591', 'K', '2187', 'l', '5557', 'x', '8365', 'P', '7315', '3763', 'Y', 'w', '8985']