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Finding the Fourth Proportional to 16,414.30, 22,648.74 and 9,243.10

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Solution

The fourth proportional to 16,414.30, 22,648.74 and 9,243.10 is: 12,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.30 : 22,648.74 = 9,243.10 : x
  2. Step 2: Convert to fraction form
    16,414.30/22,648.74 = 9,243.10/x
  3. Step 3: Cross multiply
    16,414.30x = 22,648.74 × 9,243.10
  4. Step 4: Simplify right side
    16,414.30x = 209,344,568.69
  5. Step 5: Solve for x
    x = 209,344,568.69/16,414.30
  6. Step 6: Final answer
    x = 12,753.79

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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.