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Finding the Fourth Proportional to 17,006.76, 25,497.90 and 8,578.53

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Solution

The fourth proportional to 17,006.76, 25,497.90 and 8,578.53 is: 12,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.76 : 25,497.90 = 8,578.53 : x
  2. Step 2: Convert to fraction form
    17,006.76/25,497.90 = 8,578.53/x
  3. Step 3: Cross multiply
    17,006.76x = 25,497.90 × 8,578.53
  4. Step 4: Simplify right side
    17,006.76x = 218,734,500.09
  5. Step 5: Solve for x
    x = 218,734,500.09/17,006.76
  6. Step 6: Final answer
    x = 12,861.62

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Why These Related Problems?

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