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Finding the Fourth Proportional to 17,524.16, 24,183.84 and 9,969.60

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Solution

The fourth proportional to 17,524.16, 24,183.84 and 9,969.60 is: 13,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.16 : 24,183.84 = 9,969.60 : x
  2. Step 2: Convert to fraction form
    17,524.16/24,183.84 = 9,969.60/x
  3. Step 3: Cross multiply
    17,524.16x = 24,183.84 × 9,969.60
  4. Step 4: Simplify right side
    17,524.16x = 241,103,211.26
  5. Step 5: Solve for x
    x = 241,103,211.26/17,524.16
  6. Step 6: Final answer
    x = 13,758.33

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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.