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Finding the Fourth Proportional to 11,600.69, 16,001.75 and 10,183.24

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Solution

The fourth proportional to 11,600.69, 16,001.75 and 10,183.24 is: 14,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.69 : 16,001.75 = 10,183.24 : x
  2. Step 2: Convert to fraction form
    11,600.69/16,001.75 = 10,183.24/x
  3. Step 3: Cross multiply
    11,600.69x = 16,001.75 × 10,183.24
  4. Step 4: Simplify right side
    11,600.69x = 162,949,616.12
  5. Step 5: Solve for x
    x = 162,949,616.12/11,600.69
  6. Step 6: Final answer
    x = 14,046.55

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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.