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Finding the Fourth Proportional to 20,728.92, 31,092.48 and 6,689.64

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Solution

The fourth proportional to 20,728.92, 31,092.48 and 6,689.64 is: 10,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.92 : 31,092.48 = 6,689.64 : x
  2. Step 2: Convert to fraction form
    20,728.92/31,092.48 = 6,689.64/x
  3. Step 3: Cross multiply
    20,728.92x = 31,092.48 × 6,689.64
  4. Step 4: Simplify right side
    20,728.92x = 207,997,497.91
  5. Step 5: Solve for x
    x = 207,997,497.91/20,728.92
  6. Step 6: Final answer
    x = 10,034.17

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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.