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Finding the Fourth Proportional to 26,496.89, 39,745.46 and 6,775.44

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Solution

The fourth proportional to 26,496.89, 39,745.46 and 6,775.44 is: 10,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496.89 : 39,745.46 = 6,775.44 : x
  2. Step 2: Convert to fraction form
    26,496.89/39,745.46 = 6,775.44/x
  3. Step 3: Cross multiply
    26,496.89x = 39,745.46 × 6,775.44
  4. Step 4: Simplify right side
    26,496.89x = 269,292,945.63
  5. Step 5: Solve for x
    x = 269,292,945.63/26,496.89
  6. Step 6: Final answer
    x = 10,163.19

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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.