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Finding the Fourth Proportional to 16,233.92, 22,414.56 and 10,661.12

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Solution

The fourth proportional to 16,233.92, 22,414.56 and 10,661.12 is: 14,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.92 : 22,414.56 = 10,661.12 : x
  2. Step 2: Convert to fraction form
    16,233.92/22,414.56 = 10,661.12/x
  3. Step 3: Cross multiply
    16,233.92x = 22,414.56 × 10,661.12
  4. Step 4: Simplify right side
    16,233.92x = 238,964,313.91
  5. Step 5: Solve for x
    x = 238,964,313.91/16,233.92
  6. Step 6: Final answer
    x = 14,720.06

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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.