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Finding the Fourth Proportional to 20,765.60, 31,099.80 and 12,892.40

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Solution

The fourth proportional to 20,765.60, 31,099.80 and 12,892.40 is: 19,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.60 : 31,099.80 = 12,892.40 : x
  2. Step 2: Convert to fraction form
    20,765.60/31,099.80 = 12,892.40/x
  3. Step 3: Cross multiply
    20,765.60x = 31,099.80 × 12,892.40
  4. Step 4: Simplify right side
    20,765.60x = 400,951,061.52
  5. Step 5: Solve for x
    x = 400,951,061.52/20,765.60
  6. Step 6: Final answer
    x = 19,308.43

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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.