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Finding the Fourth Proportional to 12,306.38, 16,982.81 and 7,593.39

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Solution

The fourth proportional to 12,306.38, 16,982.81 and 7,593.39 is: 10,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.38 : 16,982.81 = 7,593.39 : x
  2. Step 2: Convert to fraction form
    12,306.38/16,982.81 = 7,593.39/x
  3. Step 3: Cross multiply
    12,306.38x = 16,982.81 × 7,593.39
  4. Step 4: Simplify right side
    12,306.38x = 128,957,061.66
  5. Step 5: Solve for x
    x = 128,957,061.66/12,306.38
  6. Step 6: Final answer
    x = 10,478.88

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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.