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Finding the Fourth Proportional to 25,680.85, 38,524.36 and 9,882.20

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Solution

The fourth proportional to 25,680.85, 38,524.36 and 9,882.20 is: 14,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680.85 : 38,524.36 = 9,882.20 : x
  2. Step 2: Convert to fraction form
    25,680.85/38,524.36 = 9,882.20/x
  3. Step 3: Cross multiply
    25,680.85x = 38,524.36 × 9,882.20
  4. Step 4: Simplify right side
    25,680.85x = 380,705,520.53
  5. Step 5: Solve for x
    x = 380,705,520.53/25,680.85
  6. Step 6: Final answer
    x = 14,824.49

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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.