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Finding the Fourth Proportional to 20,747.43, 31,121.01 and 9,648

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Solution

The fourth proportional to 20,747.43, 31,121.01 and 9,648 is: 14,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,747.43 : 31,121.01 = 9,648 : x
  2. Step 2: Convert to fraction form
    20,747.43/31,121.01 = 9,648/x
  3. Step 3: Cross multiply
    20,747.43x = 31,121.01 × 9,648
  4. Step 4: Simplify right side
    20,747.43x = 300,255,504.48
  5. Step 5: Solve for x
    x = 300,255,504.48/20,747.43
  6. Step 6: Final answer
    x = 14,471.94

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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.