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Finding the Fourth Proportional to 17,471.14, 24,116.25 and 10,397.41

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Solution

The fourth proportional to 17,471.14, 24,116.25 and 10,397.41 is: 14,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.14 : 24,116.25 = 10,397.41 : x
  2. Step 2: Convert to fraction form
    17,471.14/24,116.25 = 10,397.41/x
  3. Step 3: Cross multiply
    17,471.14x = 24,116.25 × 10,397.41
  4. Step 4: Simplify right side
    17,471.14x = 250,746,538.91
  5. Step 5: Solve for x
    x = 250,746,538.91/17,471.14
  6. Step 6: Final answer
    x = 14,352.04

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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.