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Finding the Fourth Proportional to 17,716.74, 24,450.20 and 9,758.96

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Solution

The fourth proportional to 17,716.74, 24,450.20 and 9,758.96 is: 13,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.74 : 24,450.20 = 9,758.96 : x
  2. Step 2: Convert to fraction form
    17,716.74/24,450.20 = 9,758.96/x
  3. Step 3: Cross multiply
    17,716.74x = 24,450.20 × 9,758.96
  4. Step 4: Simplify right side
    17,716.74x = 238,608,523.79
  5. Step 5: Solve for x
    x = 238,608,523.79/17,716.74
  6. Step 6: Final answer
    x = 13,467.97

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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.