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Finding the Fourth Proportional to 17,578.82, 26,377.98 and 7,197.86

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Solution

The fourth proportional to 17,578.82, 26,377.98 and 7,197.86 is: 10,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.82 : 26,377.98 = 7,197.86 : x
  2. Step 2: Convert to fraction form
    17,578.82/26,377.98 = 7,197.86/x
  3. Step 3: Cross multiply
    17,578.82x = 26,377.98 × 7,197.86
  4. Step 4: Simplify right side
    17,578.82x = 189,865,007.12
  5. Step 5: Solve for x
    x = 189,865,007.12/17,578.82
  6. Step 6: Final answer
    x = 10,800.78

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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.