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Finding the Fourth Proportional to 17,711.18, 24,414.72 and 14,561.90

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Solution

The fourth proportional to 17,711.18, 24,414.72 and 14,561.90 is: 20,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.18 : 24,414.72 = 14,561.90 : x
  2. Step 2: Convert to fraction form
    17,711.18/24,414.72 = 14,561.90/x
  3. Step 3: Cross multiply
    17,711.18x = 24,414.72 × 14,561.90
  4. Step 4: Simplify right side
    17,711.18x = 355,524,711.17
  5. Step 5: Solve for x
    x = 355,524,711.17/17,711.18
  6. Step 6: Final answer
    x = 20,073.46

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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.