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Finding the Fourth Proportional to 20,519.46, 30,766.86 and 8,024.58

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Solution

The fourth proportional to 20,519.46, 30,766.86 and 8,024.58 is: 12,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.46 : 30,766.86 = 8,024.58 : x
  2. Step 2: Convert to fraction form
    20,519.46/30,766.86 = 8,024.58/x
  3. Step 3: Cross multiply
    20,519.46x = 30,766.86 × 8,024.58
  4. Step 4: Simplify right side
    20,519.46x = 246,891,129.42
  5. Step 5: Solve for x
    x = 246,891,129.42/20,519.46
  6. Step 6: Final answer
    x = 12,032.05

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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.