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Finding the Fourth Proportional to 29,843.54, 41,183.28 and 16,414.80

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Solution

The fourth proportional to 29,843.54, 41,183.28 and 16,414.80 is: 22,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.54 : 41,183.28 = 16,414.80 : x
  2. Step 2: Convert to fraction form
    29,843.54/41,183.28 = 16,414.80/x
  3. Step 3: Cross multiply
    29,843.54x = 41,183.28 × 16,414.80
  4. Step 4: Simplify right side
    29,843.54x = 676,015,304.54
  5. Step 5: Solve for x
    x = 676,015,304.54/29,843.54
  6. Step 6: Final answer
    x = 22,651.98

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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.