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Finding the Fourth Proportional to 20,006.39, 30,013.67 and 6,859.78

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Solution

The fourth proportional to 20,006.39, 30,013.67 and 6,859.78 is: 10,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.39 : 30,013.67 = 6,859.78 : x
  2. Step 2: Convert to fraction form
    20,006.39/30,013.67 = 6,859.78/x
  3. Step 3: Cross multiply
    20,006.39x = 30,013.67 × 6,859.78
  4. Step 4: Simplify right side
    20,006.39x = 205,887,115.31
  5. Step 5: Solve for x
    x = 205,887,115.31/20,006.39
  6. Step 6: Final answer
    x = 10,291.07

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