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Finding the Fourth Proportional to 20,469.20, 30,687.16 and 7,982.76

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Solution

The fourth proportional to 20,469.20, 30,687.16 and 7,982.76 is: 11,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.20 : 30,687.16 = 7,982.76 : x
  2. Step 2: Convert to fraction form
    20,469.20/30,687.16 = 7,982.76/x
  3. Step 3: Cross multiply
    20,469.20x = 30,687.16 × 7,982.76
  4. Step 4: Simplify right side
    20,469.20x = 244,968,233.36
  5. Step 5: Solve for x
    x = 244,968,233.36/20,469.20
  6. Step 6: Final answer
    x = 11,967.65

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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.