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Finding the Fourth Proportional to 20,168.10, 27,824.65 and 12,207.42

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Solution

The fourth proportional to 20,168.10, 27,824.65 and 12,207.42 is: 16,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.10 : 27,824.65 = 12,207.42 : x
  2. Step 2: Convert to fraction form
    20,168.10/27,824.65 = 12,207.42/x
  3. Step 3: Cross multiply
    20,168.10x = 27,824.65 × 12,207.42
  4. Step 4: Simplify right side
    20,168.10x = 339,667,158.38
  5. Step 5: Solve for x
    x = 339,667,158.38/20,168.10
  6. Step 6: Final answer
    x = 16,841.80

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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.