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Finding the Fourth Proportional to 20,138.33, 27,793.08 and 12,184.94

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Solution

The fourth proportional to 20,138.33, 27,793.08 and 12,184.94 is: 16,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.33 : 27,793.08 = 12,184.94 : x
  2. Step 2: Convert to fraction form
    20,138.33/27,793.08 = 12,184.94/x
  3. Step 3: Cross multiply
    20,138.33x = 27,793.08 × 12,184.94
  4. Step 4: Simplify right side
    20,138.33x = 338,656,951.29
  5. Step 5: Solve for x
    x = 338,656,951.29/20,138.33
  6. Step 6: Final answer
    x = 16,816.54

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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.