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Finding the Fourth Proportional to 21,197.18, 31,793.92 and 8,049.65

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Solution

The fourth proportional to 21,197.18, 31,793.92 and 8,049.65 is: 12,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.18 : 31,793.92 = 8,049.65 : x
  2. Step 2: Convert to fraction form
    21,197.18/31,793.92 = 8,049.65/x
  3. Step 3: Cross multiply
    21,197.18x = 31,793.92 × 8,049.65
  4. Step 4: Simplify right side
    21,197.18x = 255,929,928.13
  5. Step 5: Solve for x
    x = 255,929,928.13/21,197.18
  6. Step 6: Final answer
    x = 12,073.77

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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.