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Finding the Fourth Proportional to 27,843.78, 38,418.60 and 17,765.80

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Solution

The fourth proportional to 27,843.78, 38,418.60 and 17,765.80 is: 24,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.78 : 38,418.60 = 17,765.80 : x
  2. Step 2: Convert to fraction form
    27,843.78/38,418.60 = 17,765.80/x
  3. Step 3: Cross multiply
    27,843.78x = 38,418.60 × 17,765.80
  4. Step 4: Simplify right side
    27,843.78x = 682,537,163.88
  5. Step 5: Solve for x
    x = 682,537,163.88/27,843.78
  6. Step 6: Final answer
    x = 24,513.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.