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Finding the Fourth Proportional to 16,272.54, 22,456.71 and 9,198.54

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Solution

The fourth proportional to 16,272.54, 22,456.71 and 9,198.54 is: 12,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.54 : 22,456.71 = 9,198.54 : x
  2. Step 2: Convert to fraction form
    16,272.54/22,456.71 = 9,198.54/x
  3. Step 3: Cross multiply
    16,272.54x = 22,456.71 × 9,198.54
  4. Step 4: Simplify right side
    16,272.54x = 206,568,945.20
  5. Step 5: Solve for x
    x = 206,568,945.20/16,272.54
  6. Step 6: Final answer
    x = 12,694.33

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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.