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.
15, 18, ['6187', 'S', '1879', 'p', 'd', '1323', '7557', 'l', 'Y', 'R', 'l', 'v', '1781', '923', '1209', '5921', 'F', '6743']