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Finding the Fourth Proportional to 26,414.44, 39,627.42 and 7,945

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Solution

The fourth proportional to 26,414.44, 39,627.42 and 7,945 is: 11,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414.44 : 39,627.42 = 7,945 : x
  2. Step 2: Convert to fraction form
    26,414.44/39,627.42 = 7,945/x
  3. Step 3: Cross multiply
    26,414.44x = 39,627.42 × 7,945
  4. Step 4: Simplify right side
    26,414.44x = 314,839,851.90
  5. Step 5: Solve for x
    x = 314,839,851.90/26,414.44
  6. Step 6: Final answer
    x = 11,919.23

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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.