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Finding the Fourth Proportional to 20,287.71, 30,419.37 and 8,427.15

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Solution

The fourth proportional to 20,287.71, 30,419.37 and 8,427.15 is: 12,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.71 : 30,419.37 = 8,427.15 : x
  2. Step 2: Convert to fraction form
    20,287.71/30,419.37 = 8,427.15/x
  3. Step 3: Cross multiply
    20,287.71x = 30,419.37 × 8,427.15
  4. Step 4: Simplify right side
    20,287.71x = 256,348,593.90
  5. Step 5: Solve for x
    x = 256,348,593.90/20,287.71
  6. Step 6: Final answer
    x = 12,635.66

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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.