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Finding the Fourth Proportional to 22,629.76, 31,229.12 and 12,693.76

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Solution

The fourth proportional to 22,629.76, 31,229.12 and 12,693.76 is: 17,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,629.76 : 31,229.12 = 12,693.76 : x
  2. Step 2: Convert to fraction form
    22,629.76/31,229.12 = 12,693.76/x
  3. Step 3: Cross multiply
    22,629.76x = 31,229.12 × 12,693.76
  4. Step 4: Simplify right side
    22,629.76x = 396,414,954.29
  5. Step 5: Solve for x
    x = 396,414,954.29/22,629.76
  6. Step 6: Final answer
    x = 17,517.42

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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.