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.

4, 12, ['E', '6343', 'f', '541', '7361', '9993', 'g', '3185', 's', 'w', 'Q', 'I', 'e', 's']
21080

3, 8, ['3403', 'r', '7273', 'g', 'O', 'A', '123', '2839', 'g', 'R', 'f', 'y', 'F']
10235

3, 11, ['8817', '8705', 'm', 'h', '1161', '1687', 'w', '5165', '603', '2511', 'D', '9965', 'w', 'H', '2223', '1007', '2293']

11127