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Finding the Fourth Proportional to 17,540.14, 24,205.75 and 9,582.88

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Solution

The fourth proportional to 17,540.14, 24,205.75 and 9,582.88 is: 13,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.14 : 24,205.75 = 9,582.88 : x
  2. Step 2: Convert to fraction form
    17,540.14/24,205.75 = 9,582.88/x
  3. Step 3: Cross multiply
    17,540.14x = 24,205.75 × 9,582.88
  4. Step 4: Simplify right side
    17,540.14x = 231,960,797.56
  5. Step 5: Solve for x
    x = 231,960,797.56/17,540.14
  6. Step 6: Final answer
    x = 13,224.57

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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.