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Finding the Fourth Proportional to 20,512.30, 30,766.85 and 8,029.90

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Solution

The fourth proportional to 20,512.30, 30,766.85 and 8,029.90 is: 12,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.30 : 30,766.85 = 8,029.90 : x
  2. Step 2: Convert to fraction form
    20,512.30/30,766.85 = 8,029.90/x
  3. Step 3: Cross multiply
    20,512.30x = 30,766.85 × 8,029.90
  4. Step 4: Simplify right side
    20,512.30x = 247,054,728.82
  5. Step 5: Solve for x
    x = 247,054,728.82/20,512.30
  6. Step 6: Final answer
    x = 12,044.22

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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.