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Finding the Fourth Proportional to 25,757.02, 38,634.81 and 8,227.90

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Solution

The fourth proportional to 25,757.02, 38,634.81 and 8,227.90 is: 12,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,757.02 : 38,634.81 = 8,227.90 : x
  2. Step 2: Convert to fraction form
    25,757.02/38,634.81 = 8,227.90/x
  3. Step 3: Cross multiply
    25,757.02x = 38,634.81 × 8,227.90
  4. Step 4: Simplify right side
    25,757.02x = 317,883,353.20
  5. Step 5: Solve for x
    x = 317,883,353.20/25,757.02
  6. Step 6: Final answer
    x = 12,341.62

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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.