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.

Example Input: 12, 14, ['6255', 'M', '3541', 'A', 'I', 'W', '2289', '9861', 'L', '2527', 'h', '355', '7033', 'p', 'f']
Example Output: 7388

Example Input: 3, 5, ['b', 'a', 't', 'l', '8337', 'L', '913', 'O', '1009', '3615', 'u', 'E', 'Y', 'h', '51', '1673']
Example Output: 8337

Example Input: 21, 24, ['6903', '3349', '4585', 'C', 'w', 'I', 'U', 'n', '2689', 'W', '6601', '7357', '5063', 'y', '5779', 'L', '4257', 'd', '653', 'k', '8349', 'r', 'Y', '3019', 'E', '797', 'm']
Example Output:
11368