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Finding the Fourth Proportional to 14,737.19, 20,337.14 and 9,708.71

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Solution

The fourth proportional to 14,737.19, 20,337.14 and 9,708.71 is: 13,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.19 : 20,337.14 = 9,708.71 : x
  2. Step 2: Convert to fraction form
    14,737.19/20,337.14 = 9,708.71/x
  3. Step 3: Cross multiply
    14,737.19x = 20,337.14 × 9,708.71
  4. Step 4: Simplify right side
    14,737.19x = 197,447,317.08
  5. Step 5: Solve for x
    x = 197,447,317.08/14,737.19
  6. Step 6: Final answer
    x = 13,397.90

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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.