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Finding the Fourth Proportional to 20,640.57, 30,939.83 and 8,143.44

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Solution

The fourth proportional to 20,640.57, 30,939.83 and 8,143.44 is: 12,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.57 : 30,939.83 = 8,143.44 : x
  2. Step 2: Convert to fraction form
    20,640.57/30,939.83 = 8,143.44/x
  3. Step 3: Cross multiply
    20,640.57x = 30,939.83 × 8,143.44
  4. Step 4: Simplify right side
    20,640.57x = 251,956,649.22
  5. Step 5: Solve for x
    x = 251,956,649.22/20,640.57
  6. Step 6: Final answer
    x = 12,206.86

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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.