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Finding the Fourth Proportional to 17,524.05, 24,183.18 and 9,566.25

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Solution

The fourth proportional to 17,524.05, 24,183.18 and 9,566.25 is: 13,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.05 : 24,183.18 = 9,566.25 : x
  2. Step 2: Convert to fraction form
    17,524.05/24,183.18 = 9,566.25/x
  3. Step 3: Cross multiply
    17,524.05x = 24,183.18 × 9,566.25
  4. Step 4: Simplify right side
    17,524.05x = 231,342,345.68
  5. Step 5: Solve for x
    x = 231,342,345.68/17,524.05
  6. Step 6: Final answer
    x = 13,201.42

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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.