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Finding the Fourth Proportional to 17,524, 24,183.12 and 11,244.88

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Solution

The fourth proportional to 17,524, 24,183.12 and 11,244.88 is: 15,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524 : 24,183.12 = 11,244.88 : x
  2. Step 2: Convert to fraction form
    17,524/24,183.12 = 11,244.88/x
  3. Step 3: Cross multiply
    17,524x = 24,183.12 × 11,244.88
  4. Step 4: Simplify right side
    17,524x = 271,936,282.43
  5. Step 5: Solve for x
    x = 271,936,282.43/17,524
  6. Step 6: Final answer
    x = 15,517.93

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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.