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Finding the Fourth Proportional to 20,841.92, 31,309.92 and 12,098.24

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Solution

The fourth proportional to 20,841.92, 31,309.92 and 12,098.24 is: 18,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.92 : 31,309.92 = 12,098.24 : x
  2. Step 2: Convert to fraction form
    20,841.92/31,309.92 = 12,098.24/x
  3. Step 3: Cross multiply
    20,841.92x = 31,309.92 × 12,098.24
  4. Step 4: Simplify right side
    20,841.92x = 378,794,926.54
  5. Step 5: Solve for x
    x = 378,794,926.54/20,841.92
  6. Step 6: Final answer
    x = 18,174.67

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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.