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Finding the Fourth Proportional to 20,196.62, 30,301.11 and 10,342.82

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Solution

The fourth proportional to 20,196.62, 30,301.11 and 10,342.82 is: 15,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.62 : 30,301.11 = 10,342.82 : x
  2. Step 2: Convert to fraction form
    20,196.62/30,301.11 = 10,342.82/x
  3. Step 3: Cross multiply
    20,196.62x = 30,301.11 × 10,342.82
  4. Step 4: Simplify right side
    20,196.62x = 313,398,775.02
  5. Step 5: Solve for x
    x = 313,398,775.02/20,196.62
  6. Step 6: Final answer
    x = 15,517.39

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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.