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Finding the Fourth Proportional to 25,946.27, 38,924.87 and 8,414.73

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Solution

The fourth proportional to 25,946.27, 38,924.87 and 8,414.73 is: 12,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,946.27 : 38,924.87 = 8,414.73 : x
  2. Step 2: Convert to fraction form
    25,946.27/38,924.87 = 8,414.73/x
  3. Step 3: Cross multiply
    25,946.27x = 38,924.87 × 8,414.73
  4. Step 4: Simplify right side
    25,946.27x = 327,542,229.26
  5. Step 5: Solve for x
    x = 327,542,229.26/25,946.27
  6. Step 6: Final answer
    x = 12,623.87

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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.