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Finding the Fourth Proportional to 22,727.28, 31,363.88 and 13,294

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Solution

The fourth proportional to 22,727.28, 31,363.88 and 13,294 is: 18,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.28 : 31,363.88 = 13,294 : x
  2. Step 2: Convert to fraction form
    22,727.28/31,363.88 = 13,294/x
  3. Step 3: Cross multiply
    22,727.28x = 31,363.88 × 13,294
  4. Step 4: Simplify right side
    22,727.28x = 416,951,420.72
  5. Step 5: Solve for x
    x = 416,951,420.72/22,727.28
  6. Step 6: Final answer
    x = 18,345.86

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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.