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Finding the Fourth Proportional to 24,817.20, 37,218.60 and 8,179.44

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Solution

The fourth proportional to 24,817.20, 37,218.60 and 8,179.44 is: 12,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.20 : 37,218.60 = 8,179.44 : x
  2. Step 2: Convert to fraction form
    24,817.20/37,218.60 = 8,179.44/x
  3. Step 3: Cross multiply
    24,817.20x = 37,218.60 × 8,179.44
  4. Step 4: Simplify right side
    24,817.20x = 304,427,305.58
  5. Step 5: Solve for x
    x = 304,427,305.58/24,817.20
  6. Step 6: Final answer
    x = 12,266.79

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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.