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Finding the Fourth Proportional to 20,773.87, 31,141.97 and 8,291.26

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Solution

The fourth proportional to 20,773.87, 31,141.97 and 8,291.26 is: 12,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.87 : 31,141.97 = 8,291.26 : x
  2. Step 2: Convert to fraction form
    20,773.87/31,141.97 = 8,291.26/x
  3. Step 3: Cross multiply
    20,773.87x = 31,141.97 × 8,291.26
  4. Step 4: Simplify right side
    20,773.87x = 258,206,198.75
  5. Step 5: Solve for x
    x = 258,206,198.75/20,773.87
  6. Step 6: Final answer
    x = 12,429.38

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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.