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Finding the Fourth Proportional to 20,380.96, 30,571.76 and 9,287.20

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Solution

The fourth proportional to 20,380.96, 30,571.76 and 9,287.20 is: 13,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.96 : 30,571.76 = 9,287.20 : x
  2. Step 2: Convert to fraction form
    20,380.96/30,571.76 = 9,287.20/x
  3. Step 3: Cross multiply
    20,380.96x = 30,571.76 × 9,287.20
  4. Step 4: Simplify right side
    20,380.96x = 283,926,049.47
  5. Step 5: Solve for x
    x = 283,926,049.47/20,380.96
  6. Step 6: Final answer
    x = 13,930.95

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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.