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Finding the Fourth Proportional to 16,801.44, 23,183.28 and 10,086

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Solution

The fourth proportional to 16,801.44, 23,183.28 and 10,086 is: 13,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.44 : 23,183.28 = 10,086 : x
  2. Step 2: Convert to fraction form
    16,801.44/23,183.28 = 10,086/x
  3. Step 3: Cross multiply
    16,801.44x = 23,183.28 × 10,086
  4. Step 4: Simplify right side
    16,801.44x = 233,826,562.08
  5. Step 5: Solve for x
    x = 233,826,562.08/16,801.44
  6. Step 6: Final answer
    x = 13,917.05

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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.