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Finding the Fourth Proportional to 12,139.20, 16,740.96 and 7,949.76

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Solution

The fourth proportional to 12,139.20, 16,740.96 and 7,949.76 is: 10,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.20 : 16,740.96 = 7,949.76 : x
  2. Step 2: Convert to fraction form
    12,139.20/16,740.96 = 7,949.76/x
  3. Step 3: Cross multiply
    12,139.20x = 16,740.96 × 7,949.76
  4. Step 4: Simplify right side
    12,139.20x = 133,086,614.17
  5. Step 5: Solve for x
    x = 133,086,614.17/12,139.20
  6. Step 6: Final answer
    x = 10,963.38

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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.