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Finding the Fourth Proportional to 29,843.13, 41,183.86 and 16,414.60

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Solution

The fourth proportional to 29,843.13, 41,183.86 and 16,414.60 is: 22,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,843.13 : 41,183.86 = 16,414.60 : x
  2. Step 2: Convert to fraction form
    29,843.13/41,183.86 = 16,414.60/x
  3. Step 3: Cross multiply
    29,843.13x = 41,183.86 × 16,414.60
  4. Step 4: Simplify right side
    29,843.13x = 676,016,506.28
  5. Step 5: Solve for x
    x = 676,016,506.28/29,843.13
  6. Step 6: Final answer
    x = 22,652.33

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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.