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Finding the Fourth Proportional to 12,167.42, 16,791.12 and 7,693.19

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Solution

The fourth proportional to 12,167.42, 16,791.12 and 7,693.19 is: 10,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.42 : 16,791.12 = 7,693.19 : x
  2. Step 2: Convert to fraction form
    12,167.42/16,791.12 = 7,693.19/x
  3. Step 3: Cross multiply
    12,167.42x = 16,791.12 × 7,693.19
  4. Step 4: Simplify right side
    12,167.42x = 129,177,276.47
  5. Step 5: Solve for x
    x = 129,177,276.47/12,167.42
  6. Step 6: Final answer
    x = 10,616.65

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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.