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Finding the Fourth Proportional to 16,552.13, 22,842.38 and 8,998.97

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Solution

The fourth proportional to 16,552.13, 22,842.38 and 8,998.97 is: 12,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.13 : 22,842.38 = 8,998.97 : x
  2. Step 2: Convert to fraction form
    16,552.13/22,842.38 = 8,998.97/x
  3. Step 3: Cross multiply
    16,552.13x = 22,842.38 × 8,998.97
  4. Step 4: Simplify right side
    16,552.13x = 205,557,892.35
  5. Step 5: Solve for x
    x = 205,557,892.35/16,552.13
  6. Step 6: Final answer
    x = 12,418.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.