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Finding the Fourth Proportional to 20,808.08, 31,227 and 8,320.88

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Solution

The fourth proportional to 20,808.08, 31,227 and 8,320.88 is: 12,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.08 : 31,227 = 8,320.88 : x
  2. Step 2: Convert to fraction form
    20,808.08/31,227 = 8,320.88/x
  3. Step 3: Cross multiply
    20,808.08x = 31,227 × 8,320.88
  4. Step 4: Simplify right side
    20,808.08x = 259,836,119.76
  5. Step 5: Solve for x
    x = 259,836,119.76/20,808.08
  6. Step 6: Final answer
    x = 12,487.27

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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.