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Finding the Fourth Proportional to 20,252.57, 30,380.94 and 6,212.43

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Solution

The fourth proportional to 20,252.57, 30,380.94 and 6,212.43 is: 9,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.57 : 30,380.94 = 6,212.43 : x
  2. Step 2: Convert to fraction form
    20,252.57/30,380.94 = 6,212.43/x
  3. Step 3: Cross multiply
    20,252.57x = 30,380.94 × 6,212.43
  4. Step 4: Simplify right side
    20,252.57x = 188,739,463.08
  5. Step 5: Solve for x
    x = 188,739,463.08/20,252.57
  6. Step 6: Final answer
    x = 9,319.29

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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.