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Finding the Fourth Proportional to 26,578.53, 39,874.68 and 7,857.81

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Solution

The fourth proportional to 26,578.53, 39,874.68 and 7,857.81 is: 11,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.53 : 39,874.68 = 7,857.81 : x
  2. Step 2: Convert to fraction form
    26,578.53/39,874.68 = 7,857.81/x
  3. Step 3: Cross multiply
    26,578.53x = 39,874.68 × 7,857.81
  4. Step 4: Simplify right side
    26,578.53x = 313,327,659.25
  5. Step 5: Solve for x
    x = 313,327,659.25/26,578.53
  6. Step 6: Final answer
    x = 11,788.75

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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.