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Finding the Fourth Proportional to 26,449.70, 39,674.37 and 6,728

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Solution

The fourth proportional to 26,449.70, 39,674.37 and 6,728 is: 10,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,449.70 : 39,674.37 = 6,728 : x
  2. Step 2: Convert to fraction form
    26,449.70/39,674.37 = 6,728/x
  3. Step 3: Cross multiply
    26,449.70x = 39,674.37 × 6,728
  4. Step 4: Simplify right side
    26,449.70x = 266,929,161.36
  5. Step 5: Solve for x
    x = 266,929,161.36/26,449.70
  6. Step 6: Final answer
    x = 10,091.95

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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.