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Finding the Fourth Proportional to 23,177.38, 34,770.91 and 7,593.78

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Solution

The fourth proportional to 23,177.38, 34,770.91 and 7,593.78 is: 11,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,177.38 : 34,770.91 = 7,593.78 : x
  2. Step 2: Convert to fraction form
    23,177.38/34,770.91 = 7,593.78/x
  3. Step 3: Cross multiply
    23,177.38x = 34,770.91 × 7,593.78
  4. Step 4: Simplify right side
    23,177.38x = 264,042,640.94
  5. Step 5: Solve for x
    x = 264,042,640.94/23,177.38
  6. Step 6: Final answer
    x = 11,392.26

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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.