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Finding the Fourth Proportional to 20,511.92, 30,825.59 and 12,193.43

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Solution

The fourth proportional to 20,511.92, 30,825.59 and 12,193.43 is: 18,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.92 : 30,825.59 = 12,193.43 : x
  2. Step 2: Convert to fraction form
    20,511.92/30,825.59 = 12,193.43/x
  3. Step 3: Cross multiply
    20,511.92x = 30,825.59 × 12,193.43
  4. Step 4: Simplify right side
    20,511.92x = 375,869,458.78
  5. Step 5: Solve for x
    x = 375,869,458.78/20,511.92
  6. Step 6: Final answer
    x = 18,324.45

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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.