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Finding the Fourth Proportional to 25,772.87, 38,660.78 and 8,005.22

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Solution

The fourth proportional to 25,772.87, 38,660.78 and 8,005.22 is: 12,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.87 : 38,660.78 = 8,005.22 : x
  2. Step 2: Convert to fraction form
    25,772.87/38,660.78 = 8,005.22/x
  3. Step 3: Cross multiply
    25,772.87x = 38,660.78 × 8,005.22
  4. Step 4: Simplify right side
    25,772.87x = 309,488,049.27
  5. Step 5: Solve for x
    x = 309,488,049.27/25,772.87
  6. Step 6: Final answer
    x = 12,008.29

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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.