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Finding the Fourth Proportional to 16,864.92, 23,273.46 and 9,792

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Solution

The fourth proportional to 16,864.92, 23,273.46 and 9,792 is: 13,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.92 : 23,273.46 = 9,792 : x
  2. Step 2: Convert to fraction form
    16,864.92/23,273.46 = 9,792/x
  3. Step 3: Cross multiply
    16,864.92x = 23,273.46 × 9,792
  4. Step 4: Simplify right side
    16,864.92x = 227,893,720.32
  5. Step 5: Solve for x
    x = 227,893,720.32/16,864.92
  6. Step 6: Final answer
    x = 13,512.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.