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Finding the Fourth Proportional to 17,524.10, 24,183.18 and 9,566.32

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Solution

The fourth proportional to 17,524.10, 24,183.18 and 9,566.32 is: 13,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.10 : 24,183.18 = 9,566.32 : x
  2. Step 2: Convert to fraction form
    17,524.10/24,183.18 = 9,566.32/x
  3. Step 3: Cross multiply
    17,524.10x = 24,183.18 × 9,566.32
  4. Step 4: Simplify right side
    17,524.10x = 231,344,038.50
  5. Step 5: Solve for x
    x = 231,344,038.50/17,524.10
  6. Step 6: Final answer
    x = 13,201.48

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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.