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Finding the Fourth Proportional to 27,841.68, 41,740.56 and 13,791.78

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Solution

The fourth proportional to 27,841.68, 41,740.56 and 13,791.78 is: 20,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.68 : 41,740.56 = 13,791.78 : x
  2. Step 2: Convert to fraction form
    27,841.68/41,740.56 = 13,791.78/x
  3. Step 3: Cross multiply
    27,841.68x = 41,740.56 × 13,791.78
  4. Step 4: Simplify right side
    27,841.68x = 575,676,620.60
  5. Step 5: Solve for x
    x = 575,676,620.60/27,841.68
  6. Step 6: Final answer
    x = 20,676.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.