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Finding the Fourth Proportional to 26,170.36, 39,256 and 7,450.88

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Solution

The fourth proportional to 26,170.36, 39,256 and 7,450.88 is: 11,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,170.36 : 39,256 = 7,450.88 : x
  2. Step 2: Convert to fraction form
    26,170.36/39,256 = 7,450.88/x
  3. Step 3: Cross multiply
    26,170.36x = 39,256 × 7,450.88
  4. Step 4: Simplify right side
    26,170.36x = 292,491,745.28
  5. Step 5: Solve for x
    x = 292,491,745.28/26,170.36
  6. Step 6: Final answer
    x = 11,176.45

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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.