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Finding the Fourth Proportional to 17,524.00, 24,183.11 and 9,566.22

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Solution

The fourth proportional to 17,524.00, 24,183.11 and 9,566.22 is: 13,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.00 : 24,183.11 = 9,566.22 : x
  2. Step 2: Convert to fraction form
    17,524.00/24,183.11 = 9,566.22/x
  3. Step 3: Cross multiply
    17,524.00x = 24,183.11 × 9,566.22
  4. Step 4: Simplify right side
    17,524.00x = 231,341,087.82
  5. Step 5: Solve for x
    x = 231,341,087.82/17,524.00
  6. Step 6: Final answer
    x = 13,201.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.