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Finding the Fourth Proportional to 15,805.46, 23,711.07 and 5,414.90

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Solution

The fourth proportional to 15,805.46, 23,711.07 and 5,414.90 is: 8,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.46 : 23,711.07 = 5,414.90 : x
  2. Step 2: Convert to fraction form
    15,805.46/23,711.07 = 5,414.90/x
  3. Step 3: Cross multiply
    15,805.46x = 23,711.07 × 5,414.90
  4. Step 4: Simplify right side
    15,805.46x = 128,393,072.94
  5. Step 5: Solve for x
    x = 128,393,072.94/15,805.46
  6. Step 6: Final answer
    x = 8,123.34

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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.