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Finding the Fourth Proportional to 20,168.84, 27,834.70 and 11,218.08

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Solution

The fourth proportional to 20,168.84, 27,834.70 and 11,218.08 is: 15,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.84 : 27,834.70 = 11,218.08 : x
  2. Step 2: Convert to fraction form
    20,168.84/27,834.70 = 11,218.08/x
  3. Step 3: Cross multiply
    20,168.84x = 27,834.70 × 11,218.08
  4. Step 4: Simplify right side
    20,168.84x = 312,251,891.38
  5. Step 5: Solve for x
    x = 312,251,891.38/20,168.84
  6. Step 6: Final answer
    x = 15,481.90

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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.