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Finding the Fourth Proportional to 12,876.67, 17,771.27 and 7,843.84

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Solution

The fourth proportional to 12,876.67, 17,771.27 and 7,843.84 is: 10,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.67 : 17,771.27 = 7,843.84 : x
  2. Step 2: Convert to fraction form
    12,876.67/17,771.27 = 7,843.84/x
  3. Step 3: Cross multiply
    12,876.67x = 17,771.27 × 7,843.84
  4. Step 4: Simplify right side
    12,876.67x = 139,394,981.01
  5. Step 5: Solve for x
    x = 139,394,981.01/12,876.67
  6. Step 6: Final answer
    x = 10,825.39

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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.