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Finding the Fourth Proportional to 11,578.69, 17,376.24 and 8,294.56

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Solution

The fourth proportional to 11,578.69, 17,376.24 and 8,294.56 is: 12,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.69 : 17,376.24 = 8,294.56 : x
  2. Step 2: Convert to fraction form
    11,578.69/17,376.24 = 8,294.56/x
  3. Step 3: Cross multiply
    11,578.69x = 17,376.24 × 8,294.56
  4. Step 4: Simplify right side
    11,578.69x = 144,128,265.25
  5. Step 5: Solve for x
    x = 144,128,265.25/11,578.69
  6. Step 6: Final answer
    x = 12,447.72

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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.