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Finding the Fourth Proportional to 15,177.92, 22,770.24 and 5,944

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Solution

The fourth proportional to 15,177.92, 22,770.24 and 5,944 is: 8,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.92 : 22,770.24 = 5,944 : x
  2. Step 2: Convert to fraction form
    15,177.92/22,770.24 = 5,944/x
  3. Step 3: Cross multiply
    15,177.92x = 22,770.24 × 5,944
  4. Step 4: Simplify right side
    15,177.92x = 135,346,306.56
  5. Step 5: Solve for x
    x = 135,346,306.56/15,177.92
  6. Step 6: Final answer
    x = 8,917.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.