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Finding the Fourth Proportional to 20,138.72, 30,200.87 and 7,655.42

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Solution

The fourth proportional to 20,138.72, 30,200.87 and 7,655.42 is: 11,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.72 : 30,200.87 = 7,655.42 : x
  2. Step 2: Convert to fraction form
    20,138.72/30,200.87 = 7,655.42/x
  3. Step 3: Cross multiply
    20,138.72x = 30,200.87 × 7,655.42
  4. Step 4: Simplify right side
    20,138.72x = 231,200,154.93
  5. Step 5: Solve for x
    x = 231,200,154.93/20,138.72
  6. Step 6: Final answer
    x = 11,480.38

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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.