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Finding the Fourth Proportional to 17,517.14, 24,174.24 and 9,559.80

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Solution

The fourth proportional to 17,517.14, 24,174.24 and 9,559.80 is: 13,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.14 : 24,174.24 = 9,559.80 : x
  2. Step 2: Convert to fraction form
    17,517.14/24,174.24 = 9,559.80/x
  3. Step 3: Cross multiply
    17,517.14x = 24,174.24 × 9,559.80
  4. Step 4: Simplify right side
    17,517.14x = 231,100,863.70
  5. Step 5: Solve for x
    x = 231,100,863.70/17,517.14
  6. Step 6: Final answer
    x = 13,192.84

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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.