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Finding the Fourth Proportional to 14,737.72, 20,332.48 and 9,431.68

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Solution

The fourth proportional to 14,737.72, 20,332.48 and 9,431.68 is: 13,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.72 : 20,332.48 = 9,431.68 : x
  2. Step 2: Convert to fraction form
    14,737.72/20,332.48 = 9,431.68/x
  3. Step 3: Cross multiply
    14,737.72x = 20,332.48 × 9,431.68
  4. Step 4: Simplify right side
    14,737.72x = 191,769,444.97
  5. Step 5: Solve for x
    x = 191,769,444.97/14,737.72
  6. Step 6: Final answer
    x = 13,012.15

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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.