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Finding the Fourth Proportional to 20,098.69, 27,734.38 and 11,146.17

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Solution

The fourth proportional to 20,098.69, 27,734.38 and 11,146.17 is: 15,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.69 : 27,734.38 = 11,146.17 : x
  2. Step 2: Convert to fraction form
    20,098.69/27,734.38 = 11,146.17/x
  3. Step 3: Cross multiply
    20,098.69x = 27,734.38 × 11,146.17
  4. Step 4: Simplify right side
    20,098.69x = 309,132,114.32
  5. Step 5: Solve for x
    x = 309,132,114.32/20,098.69
  6. Step 6: Final answer
    x = 15,380.71

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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.