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Finding the Fourth Proportional to 12,367.38, 17,067.42 and 7,062.12

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Solution

The fourth proportional to 12,367.38, 17,067.42 and 7,062.12 is: 9,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.38 : 17,067.42 = 7,062.12 : x
  2. Step 2: Convert to fraction form
    12,367.38/17,067.42 = 7,062.12/x
  3. Step 3: Cross multiply
    12,367.38x = 17,067.42 × 7,062.12
  4. Step 4: Simplify right side
    12,367.38x = 120,532,168.13
  5. Step 5: Solve for x
    x = 120,532,168.13/12,367.38
  6. Step 6: Final answer
    x = 9,745.97

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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.