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Finding the Fourth Proportional to 26,107.84, 39,166.68 and 8,578.66

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Solution

The fourth proportional to 26,107.84, 39,166.68 and 8,578.66 is: 12,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,107.84 : 39,166.68 = 8,578.66 : x
  2. Step 2: Convert to fraction form
    26,107.84/39,166.68 = 8,578.66/x
  3. Step 3: Cross multiply
    26,107.84x = 39,166.68 × 8,578.66
  4. Step 4: Simplify right side
    26,107.84x = 335,997,631.05
  5. Step 5: Solve for x
    x = 335,997,631.05/26,107.84
  6. Step 6: Final answer
    x = 12,869.61

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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.