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Finding the Fourth Proportional to 20,851.92, 31,324.92 and 12,108.24

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Solution

The fourth proportional to 20,851.92, 31,324.92 and 12,108.24 is: 18,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.92 : 31,324.92 = 12,108.24 : x
  2. Step 2: Convert to fraction form
    20,851.92/31,324.92 = 12,108.24/x
  3. Step 3: Cross multiply
    20,851.92x = 31,324.92 × 12,108.24
  4. Step 4: Simplify right side
    20,851.92x = 379,289,649.34
  5. Step 5: Solve for x
    x = 379,289,649.34/20,851.92
  6. Step 6: Final answer
    x = 18,189.68

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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.