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, 3, ['E', '6187', '5861', '3697', '2749', '1171', '6085', 'c', '2291', '2385', '7335', 'B']
12048

11, 14, ['H', '4643', 'k', '9583', 'K', '3497', 'Q', '8111', '1837', 'Z', '6885', 'L', '1759', '7777', '3137']
16421

3, 4, ['g', '1673', 'k', '9045', '791', 'u', '6637', '1521']

9045