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Finding the Fourth Proportional to 17,862.57, 24,645.70 and 10,689.41

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Solution

The fourth proportional to 17,862.57, 24,645.70 and 10,689.41 is: 14,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.57 : 24,645.70 = 10,689.41 : x
  2. Step 2: Convert to fraction form
    17,862.57/24,645.70 = 10,689.41/x
  3. Step 3: Cross multiply
    17,862.57x = 24,645.70 × 10,689.41
  4. Step 4: Simplify right side
    17,862.57x = 263,447,938.59
  5. Step 5: Solve for x
    x = 263,447,938.59/17,862.57
  6. Step 6: Final answer
    x = 14,748.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.