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Finding the Fourth Proportional to 20,149.87, 30,224.82 and 7,667.02

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Solution

The fourth proportional to 20,149.87, 30,224.82 and 7,667.02 is: 11,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.87 : 30,224.82 = 7,667.02 : x
  2. Step 2: Convert to fraction form
    20,149.87/30,224.82 = 7,667.02/x
  3. Step 3: Cross multiply
    20,149.87x = 30,224.82 × 7,667.02
  4. Step 4: Simplify right side
    20,149.87x = 231,734,299.44
  5. Step 5: Solve for x
    x = 231,734,299.44/20,149.87
  6. Step 6: Final answer
    x = 11,500.54

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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.