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Finding the Fourth Proportional to 26,448.26, 39,676.08 and 7,729.66

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Solution

The fourth proportional to 26,448.26, 39,676.08 and 7,729.66 is: 11,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448.26 : 39,676.08 = 7,729.66 : x
  2. Step 2: Convert to fraction form
    26,448.26/39,676.08 = 7,729.66/x
  3. Step 3: Cross multiply
    26,448.26x = 39,676.08 × 7,729.66
  4. Step 4: Simplify right side
    26,448.26x = 306,682,687.11
  5. Step 5: Solve for x
    x = 306,682,687.11/26,448.26
  6. Step 6: Final answer
    x = 11,595.57

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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.