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Finding the Fourth Proportional to 24,791.82, 34,212.69 and 13,613.82

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Solution

The fourth proportional to 24,791.82, 34,212.69 and 13,613.82 is: 18,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.82 : 34,212.69 = 13,613.82 : x
  2. Step 2: Convert to fraction form
    24,791.82/34,212.69 = 13,613.82/x
  3. Step 3: Cross multiply
    24,791.82x = 34,212.69 × 13,613.82
  4. Step 4: Simplify right side
    24,791.82x = 465,765,403.38
  5. Step 5: Solve for x
    x = 465,765,403.38/24,791.82
  6. Step 6: Final answer
    x = 18,787.06

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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.