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Finding the Fourth Proportional to 20,522.12, 30,754.24 and 9,691.29

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Solution

The fourth proportional to 20,522.12, 30,754.24 and 9,691.29 is: 14,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.12 : 30,754.24 = 9,691.29 : x
  2. Step 2: Convert to fraction form
    20,522.12/30,754.24 = 9,691.29/x
  3. Step 3: Cross multiply
    20,522.12x = 30,754.24 × 9,691.29
  4. Step 4: Simplify right side
    20,522.12x = 298,048,234.34
  5. Step 5: Solve for x
    x = 298,048,234.34/20,522.12
  6. Step 6: Final answer
    x = 14,523.27

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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.