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Finding the Fourth Proportional to 12,115.98, 16,727.49 and 9,608.22

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Solution

The fourth proportional to 12,115.98, 16,727.49 and 9,608.22 is: 13,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.98 : 16,727.49 = 9,608.22 : x
  2. Step 2: Convert to fraction form
    12,115.98/16,727.49 = 9,608.22/x
  3. Step 3: Cross multiply
    12,115.98x = 16,727.49 × 9,608.22
  4. Step 4: Simplify right side
    12,115.98x = 160,721,403.97
  5. Step 5: Solve for x
    x = 160,721,403.97/12,115.98
  6. Step 6: Final answer
    x = 13,265.24

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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.