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Finding the Fourth Proportional to 17,524.25, 24,183.13 and 9,566.53

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Solution

The fourth proportional to 17,524.25, 24,183.13 and 9,566.53 is: 13,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.25 : 24,183.13 = 9,566.53 : x
  2. Step 2: Convert to fraction form
    17,524.25/24,183.13 = 9,566.53/x
  3. Step 3: Cross multiply
    17,524.25x = 24,183.13 × 9,566.53
  4. Step 4: Simplify right side
    17,524.25x = 231,348,667.12
  5. Step 5: Solve for x
    x = 231,348,667.12/17,524.25
  6. Step 6: Final answer
    x = 13,201.63

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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.