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Finding the Fourth Proportional to 20,520.50, 30,768.41 and 8,025.62

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Solution

The fourth proportional to 20,520.50, 30,768.41 and 8,025.62 is: 12,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.50 : 30,768.41 = 8,025.62 : x
  2. Step 2: Convert to fraction form
    20,520.50/30,768.41 = 8,025.62/x
  3. Step 3: Cross multiply
    20,520.50x = 30,768.41 × 8,025.62
  4. Step 4: Simplify right side
    20,520.50x = 246,935,372.69
  5. Step 5: Solve for x
    x = 246,935,372.69/20,520.50
  6. Step 6: Final answer
    x = 12,033.60

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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.