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Finding the Fourth Proportional to 22,296.28, 30,769.12 and 12,737.44

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Solution

The fourth proportional to 22,296.28, 30,769.12 and 12,737.44 is: 17,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.28 : 30,769.12 = 12,737.44 : x
  2. Step 2: Convert to fraction form
    22,296.28/30,769.12 = 12,737.44/x
  3. Step 3: Cross multiply
    22,296.28x = 30,769.12 × 12,737.44
  4. Step 4: Simplify right side
    22,296.28x = 391,919,819.85
  5. Step 5: Solve for x
    x = 391,919,819.85/22,296.28
  6. Step 6: Final answer
    x = 17,577.81

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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.