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Finding the Fourth Proportional to 20,764.44, 31,143.42 and 8,286.12

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Solution

The fourth proportional to 20,764.44, 31,143.42 and 8,286.12 is: 12,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764.44 : 31,143.42 = 8,286.12 : x
  2. Step 2: Convert to fraction form
    20,764.44/31,143.42 = 8,286.12/x
  3. Step 3: Cross multiply
    20,764.44x = 31,143.42 × 8,286.12
  4. Step 4: Simplify right side
    20,764.44x = 258,058,115.33
  5. Step 5: Solve for x
    x = 258,058,115.33/20,764.44
  6. Step 6: Final answer
    x = 12,427.89

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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.