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Finding the Fourth Proportional to 19,691.38, 27,175.72 and 11,196.17

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Solution

The fourth proportional to 19,691.38, 27,175.72 and 11,196.17 is: 15,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.38 : 27,175.72 = 11,196.17 : x
  2. Step 2: Convert to fraction form
    19,691.38/27,175.72 = 11,196.17/x
  3. Step 3: Cross multiply
    19,691.38x = 27,175.72 × 11,196.17
  4. Step 4: Simplify right side
    19,691.38x = 304,264,140.12
  5. Step 5: Solve for x
    x = 304,264,140.12/19,691.38
  6. Step 6: Final answer
    x = 15,451.64

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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.