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, 23, ['8423', '4857', 'S', '4497', 's', '2223', '3827', 'd', 'k', 'W', 'T', 'd', 'u', '553', 'i', '9755', '4991', 'E', '7737', 'P', '8017', 'q', 'c', 'D', '421', 'F']