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Finding the Fourth Proportional to 20,138.90, 27,793.01 and 12,181.46

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Solution

The fourth proportional to 20,138.90, 27,793.01 and 12,181.46 is: 16,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.90 : 27,793.01 = 12,181.46 : x
  2. Step 2: Convert to fraction form
    20,138.90/27,793.01 = 12,181.46/x
  3. Step 3: Cross multiply
    20,138.90x = 27,793.01 × 12,181.46
  4. Step 4: Simplify right side
    20,138.90x = 338,559,439.59
  5. Step 5: Solve for x
    x = 338,559,439.59/20,138.90
  6. Step 6: Final answer
    x = 16,811.22

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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.