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Finding the Fourth Proportional to 17,578.17, 26,375.65 and 8,216.83

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Solution

The fourth proportional to 17,578.17, 26,375.65 and 8,216.83 is: 12,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.17 : 26,375.65 = 8,216.83 : x
  2. Step 2: Convert to fraction form
    17,578.17/26,375.65 = 8,216.83/x
  3. Step 3: Cross multiply
    17,578.17x = 26,375.65 × 8,216.83
  4. Step 4: Simplify right side
    17,578.17x = 216,724,194.15
  5. Step 5: Solve for x
    x = 216,724,194.15/17,578.17
  6. Step 6: Final answer
    x = 12,329.17

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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.