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.

[Q]: 1, 4, ['261', '6237', '3809', '1857']
[A]: 12164


[Q]: 19, 23, ['8277', '3337', 'G', 'N', '2365', 'S', 'Y', 'l', '5871', '2373', '7441', '2095', 'N', 'J', 'Q', '5493', 'Q', 'g', 'E', 'i', '4825', '5543', 'i', '1737', 'y', '1463', 'r', 'F']
[A]: 10368


[Q]: 1, 7, ['173', '5875', 'C', '7417', '3565', '1949', '537', '7707', 'o', 'y']
[A]:
19516