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Finding the Fourth Proportional to 22,753.89, 34,138.94 and 11,665.80

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Solution

The fourth proportional to 22,753.89, 34,138.94 and 11,665.80 is: 17,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.89 : 34,138.94 = 11,665.80 : x
  2. Step 2: Convert to fraction form
    22,753.89/34,138.94 = 11,665.80/x
  3. Step 3: Cross multiply
    22,753.89x = 34,138.94 × 11,665.80
  4. Step 4: Simplify right side
    22,753.89x = 398,257,987.92
  5. Step 5: Solve for x
    x = 398,257,987.92/22,753.89
  6. Step 6: Final answer
    x = 17,502.85

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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.