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Finding the Fourth Proportional to 12,496.38, 17,245.12 and 8,020.22

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Solution

The fourth proportional to 12,496.38, 17,245.12 and 8,020.22 is: 11,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.38 : 17,245.12 = 8,020.22 : x
  2. Step 2: Convert to fraction form
    12,496.38/17,245.12 = 8,020.22/x
  3. Step 3: Cross multiply
    12,496.38x = 17,245.12 × 8,020.22
  4. Step 4: Simplify right side
    12,496.38x = 138,309,656.33
  5. Step 5: Solve for x
    x = 138,309,656.33/12,496.38
  6. Step 6: Final answer
    x = 11,067.98

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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.