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Finding the Fourth Proportional to 12,832.39, 17,708.52 and 7,167.23

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Solution

The fourth proportional to 12,832.39, 17,708.52 and 7,167.23 is: 9,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.39 : 17,708.52 = 7,167.23 : x
  2. Step 2: Convert to fraction form
    12,832.39/17,708.52 = 7,167.23/x
  3. Step 3: Cross multiply
    12,832.39x = 17,708.52 × 7,167.23
  4. Step 4: Simplify right side
    12,832.39x = 126,921,140.15
  5. Step 5: Solve for x
    x = 126,921,140.15/12,832.39
  6. Step 6: Final answer
    x = 9,890.69

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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.