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Finding the Fourth Proportional to 14,737.97, 20,345.66 and 11,545.76

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Solution

The fourth proportional to 14,737.97, 20,345.66 and 11,545.76 is: 15,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.97 : 20,345.66 = 11,545.76 : x
  2. Step 2: Convert to fraction form
    14,737.97/20,345.66 = 11,545.76/x
  3. Step 3: Cross multiply
    14,737.97x = 20,345.66 × 11,545.76
  4. Step 4: Simplify right side
    14,737.97x = 234,906,107.40
  5. Step 5: Solve for x
    x = 234,906,107.40/14,737.97
  6. Step 6: Final answer
    x = 15,938.84

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Why These Related Problems?

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