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Finding the Fourth Proportional to 20,794.47, 31,191.84 and 8,315.55

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Solution

The fourth proportional to 20,794.47, 31,191.84 and 8,315.55 is: 12,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.47 : 31,191.84 = 8,315.55 : x
  2. Step 2: Convert to fraction form
    20,794.47/31,191.84 = 8,315.55/x
  3. Step 3: Cross multiply
    20,794.47x = 31,191.84 × 8,315.55
  4. Step 4: Simplify right side
    20,794.47x = 259,377,149.15
  5. Step 5: Solve for x
    x = 259,377,149.15/20,794.47
  6. Step 6: Final answer
    x = 12,473.37

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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.