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Finding the Fourth Proportional to 13,857.15, 20,793.92 and 5,098.21

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Solution

The fourth proportional to 13,857.15, 20,793.92 and 5,098.21 is: 7,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.15 : 20,793.92 = 5,098.21 : x
  2. Step 2: Convert to fraction form
    13,857.15/20,793.92 = 5,098.21/x
  3. Step 3: Cross multiply
    13,857.15x = 20,793.92 × 5,098.21
  4. Step 4: Simplify right side
    13,857.15x = 106,011,770.88
  5. Step 5: Solve for x
    x = 106,011,770.88/13,857.15
  6. Step 6: Final answer
    x = 7,650.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.