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Finding the Fourth Proportional to 17,578.67, 26,376.40 and 8,217.33

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Solution

The fourth proportional to 17,578.67, 26,376.40 and 8,217.33 is: 12,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.67 : 26,376.40 = 8,217.33 : x
  2. Step 2: Convert to fraction form
    17,578.67/26,376.40 = 8,217.33/x
  3. Step 3: Cross multiply
    17,578.67x = 26,376.40 × 8,217.33
  4. Step 4: Simplify right side
    17,578.67x = 216,743,583.01
  5. Step 5: Solve for x
    x = 216,743,583.01/17,578.67
  6. Step 6: Final answer
    x = 12,329.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.