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Finding the Fourth Proportional to 20,171.89, 30,257.97 and 7,024.22

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Solution

The fourth proportional to 20,171.89, 30,257.97 and 7,024.22 is: 10,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.89 : 30,257.97 = 7,024.22 : x
  2. Step 2: Convert to fraction form
    20,171.89/30,257.97 = 7,024.22/x
  3. Step 3: Cross multiply
    20,171.89x = 30,257.97 × 7,024.22
  4. Step 4: Simplify right side
    20,171.89x = 212,538,451.62
  5. Step 5: Solve for x
    x = 212,538,451.62/20,171.89
  6. Step 6: Final answer
    x = 10,536.37

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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.