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Finding the Fourth Proportional to 17,524.10, 24,183.34 and 9,566.50

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Solution

The fourth proportional to 17,524.10, 24,183.34 and 9,566.50 is: 13,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.10 : 24,183.34 = 9,566.50 : x
  2. Step 2: Convert to fraction form
    17,524.10/24,183.34 = 9,566.50/x
  3. Step 3: Cross multiply
    17,524.10x = 24,183.34 × 9,566.50
  4. Step 4: Simplify right side
    17,524.10x = 231,349,922.11
  5. Step 5: Solve for x
    x = 231,349,922.11/17,524.10
  6. Step 6: Final answer
    x = 13,201.81

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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.