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Finding the Fourth Proportional to 20,713.38, 31,066.82 and 6,862.38

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Solution

The fourth proportional to 20,713.38, 31,066.82 and 6,862.38 is: 10,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.38 : 31,066.82 = 6,862.38 : x
  2. Step 2: Convert to fraction form
    20,713.38/31,066.82 = 6,862.38/x
  3. Step 3: Cross multiply
    20,713.38x = 31,066.82 × 6,862.38
  4. Step 4: Simplify right side
    20,713.38x = 213,192,324.23
  5. Step 5: Solve for x
    x = 213,192,324.23/20,713.38
  6. Step 6: Final answer
    x = 10,292.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.