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Finding the Fourth Proportional to 23,257.42, 34,892.74 and 11,414.75

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Solution

The fourth proportional to 23,257.42, 34,892.74 and 11,414.75 is: 17,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.42 : 34,892.74 = 11,414.75 : x
  2. Step 2: Convert to fraction form
    23,257.42/34,892.74 = 11,414.75/x
  3. Step 3: Cross multiply
    23,257.42x = 34,892.74 × 11,414.75
  4. Step 4: Simplify right side
    23,257.42x = 398,291,793.70
  5. Step 5: Solve for x
    x = 398,291,793.70/23,257.42
  6. Step 6: Final answer
    x = 17,125.37

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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.