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Finding the Fourth Proportional to 13,183.82, 18,213.44 and 8,657.24

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Solution

The fourth proportional to 13,183.82, 18,213.44 and 8,657.24 is: 11,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.82 : 18,213.44 = 8,657.24 : x
  2. Step 2: Convert to fraction form
    13,183.82/18,213.44 = 8,657.24/x
  3. Step 3: Cross multiply
    13,183.82x = 18,213.44 × 8,657.24
  4. Step 4: Simplify right side
    13,183.82x = 157,678,121.31
  5. Step 5: Solve for x
    x = 157,678,121.31/13,183.82
  6. Step 6: Final answer
    x = 11,959.97

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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.