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Finding the Fourth Proportional to 20,635.38, 30,948.09 and 9,531.39

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Solution

The fourth proportional to 20,635.38, 30,948.09 and 9,531.39 is: 14,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.38 : 30,948.09 = 9,531.39 : x
  2. Step 2: Convert to fraction form
    20,635.38/30,948.09 = 9,531.39/x
  3. Step 3: Cross multiply
    20,635.38x = 30,948.09 × 9,531.39
  4. Step 4: Simplify right side
    20,635.38x = 294,978,315.55
  5. Step 5: Solve for x
    x = 294,978,315.55/20,635.38
  6. Step 6: Final answer
    x = 14,294.78

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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.