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Finding the Fourth Proportional to 20,204.64, 27,871.70 and 12,245.31

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Solution

The fourth proportional to 20,204.64, 27,871.70 and 12,245.31 is: 16,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.64 : 27,871.70 = 12,245.31 : x
  2. Step 2: Convert to fraction form
    20,204.64/27,871.70 = 12,245.31/x
  3. Step 3: Cross multiply
    20,204.64x = 27,871.70 × 12,245.31
  4. Step 4: Simplify right side
    20,204.64x = 341,297,545.50
  5. Step 5: Solve for x
    x = 341,297,545.50/20,204.64
  6. Step 6: Final answer
    x = 16,892.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.