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Finding the Fourth Proportional to 12,892.57, 17,791.62 and 11,834.62

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Solution

The fourth proportional to 12,892.57, 17,791.62 and 11,834.62 is: 16,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.57 : 17,791.62 = 11,834.62 : x
  2. Step 2: Convert to fraction form
    12,892.57/17,791.62 = 11,834.62/x
  3. Step 3: Cross multiply
    12,892.57x = 17,791.62 × 11,834.62
  4. Step 4: Simplify right side
    12,892.57x = 210,557,061.88
  5. Step 5: Solve for x
    x = 210,557,061.88/12,892.57
  6. Step 6: Final answer
    x = 16,331.66

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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.