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Finding the Fourth Proportional to 20,843.92, 31,312.92 and 12,100.24

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Solution

The fourth proportional to 20,843.92, 31,312.92 and 12,100.24 is: 18,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.92 : 31,312.92 = 12,100.24 : x
  2. Step 2: Convert to fraction form
    20,843.92/31,312.92 = 12,100.24/x
  3. Step 3: Cross multiply
    20,843.92x = 31,312.92 × 12,100.24
  4. Step 4: Simplify right side
    20,843.92x = 378,893,847.10
  5. Step 5: Solve for x
    x = 378,893,847.10/20,843.92
  6. Step 6: Final answer
    x = 18,177.67

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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.