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Finding the Fourth Proportional to 20,540.38, 28,346.13 and 12,049

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Solution

The fourth proportional to 20,540.38, 28,346.13 and 12,049 is: 16,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.38 : 28,346.13 = 12,049 : x
  2. Step 2: Convert to fraction form
    20,540.38/28,346.13 = 12,049/x
  3. Step 3: Cross multiply
    20,540.38x = 28,346.13 × 12,049
  4. Step 4: Simplify right side
    20,540.38x = 341,542,520.37
  5. Step 5: Solve for x
    x = 341,542,520.37/20,540.38
  6. Step 6: Final answer
    x = 16,627.86

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Why These Related Problems?

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