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Finding the Fourth Proportional to 20,171.44, 30,256.17 and 7,024.78

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Solution

The fourth proportional to 20,171.44, 30,256.17 and 7,024.78 is: 10,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.44 : 30,256.17 = 7,024.78 : x
  2. Step 2: Convert to fraction form
    20,171.44/30,256.17 = 7,024.78/x
  3. Step 3: Cross multiply
    20,171.44x = 30,256.17 × 7,024.78
  4. Step 4: Simplify right side
    20,171.44x = 212,542,937.89
  5. Step 5: Solve for x
    x = 212,542,937.89/20,171.44
  6. Step 6: Final answer
    x = 10,536.83

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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.