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Finding the Fourth Proportional to 24,141.31, 33,307.13 and 14,067.44

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Solution

The fourth proportional to 24,141.31, 33,307.13 and 14,067.44 is: 19,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141.31 : 33,307.13 = 14,067.44 : x
  2. Step 2: Convert to fraction form
    24,141.31/33,307.13 = 14,067.44/x
  3. Step 3: Cross multiply
    24,141.31x = 33,307.13 × 14,067.44
  4. Step 4: Simplify right side
    24,141.31x = 468,546,046.38
  5. Step 5: Solve for x
    x = 468,546,046.38/24,141.31
  6. Step 6: Final answer
    x = 19,408.48

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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.