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Finding the Fourth Proportional to 20,728.27, 31,098.98 and 7,400.97

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Solution

The fourth proportional to 20,728.27, 31,098.98 and 7,400.97 is: 11,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.27 : 31,098.98 = 7,400.97 : x
  2. Step 2: Convert to fraction form
    20,728.27/31,098.98 = 7,400.97/x
  3. Step 3: Cross multiply
    20,728.27x = 31,098.98 × 7,400.97
  4. Step 4: Simplify right side
    20,728.27x = 230,162,581.01
  5. Step 5: Solve for x
    x = 230,162,581.01/20,728.27
  6. Step 6: Final answer
    x = 11,103.80

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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.