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Finding the Fourth Proportional to 20,463.52, 30,688.32 and 7,982.56

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Solution

The fourth proportional to 20,463.52, 30,688.32 and 7,982.56 is: 11,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463.52 : 30,688.32 = 7,982.56 : x
  2. Step 2: Convert to fraction form
    20,463.52/30,688.32 = 7,982.56/x
  3. Step 3: Cross multiply
    20,463.52x = 30,688.32 × 7,982.56
  4. Step 4: Simplify right side
    20,463.52x = 244,971,355.70
  5. Step 5: Solve for x
    x = 244,971,355.70/20,463.52
  6. Step 6: Final answer
    x = 11,971.12

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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.