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Finding the Fourth Proportional to 20,817.55, 31,221.12 and 8,169.87

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Solution

The fourth proportional to 20,817.55, 31,221.12 and 8,169.87 is: 12,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.55 : 31,221.12 = 8,169.87 : x
  2. Step 2: Convert to fraction form
    20,817.55/31,221.12 = 8,169.87/x
  3. Step 3: Cross multiply
    20,817.55x = 31,221.12 × 8,169.87
  4. Step 4: Simplify right side
    20,817.55x = 255,072,494.12
  5. Step 5: Solve for x
    x = 255,072,494.12/20,817.55
  6. Step 6: Final answer
    x = 12,252.76

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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.