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Finding the Fourth Proportional to 20,175.36, 27,843.84 and 11,793.12

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Solution

The fourth proportional to 20,175.36, 27,843.84 and 11,793.12 is: 16,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.36 : 27,843.84 = 11,793.12 : x
  2. Step 2: Convert to fraction form
    20,175.36/27,843.84 = 11,793.12/x
  3. Step 3: Cross multiply
    20,175.36x = 27,843.84 × 11,793.12
  4. Step 4: Simplify right side
    20,175.36x = 328,365,746.38
  5. Step 5: Solve for x
    x = 328,365,746.38/20,175.36
  6. Step 6: Final answer
    x = 16,275.58

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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.