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Finding the Fourth Proportional to 27,884.80, 41,790.28 and 20,454.47

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Solution

The fourth proportional to 27,884.80, 41,790.28 and 20,454.47 is: 30,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.80 : 41,790.28 = 20,454.47 : x
  2. Step 2: Convert to fraction form
    27,884.80/41,790.28 = 20,454.47/x
  3. Step 3: Cross multiply
    27,884.80x = 41,790.28 × 20,454.47
  4. Step 4: Simplify right side
    27,884.80x = 854,798,028.55
  5. Step 5: Solve for x
    x = 854,798,028.55/27,884.80
  6. Step 6: Final answer
    x = 30,654.62

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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.