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Finding the Fourth Proportional to 26,449.88, 39,677.37 and 7,729.49

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Solution

The fourth proportional to 26,449.88, 39,677.37 and 7,729.49 is: 11,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,449.88 : 39,677.37 = 7,729.49 : x
  2. Step 2: Convert to fraction form
    26,449.88/39,677.37 = 7,729.49/x
  3. Step 3: Cross multiply
    26,449.88x = 39,677.37 × 7,729.49
  4. Step 4: Simplify right side
    26,449.88x = 306,685,636.25
  5. Step 5: Solve for x
    x = 306,685,636.25/26,449.88
  6. Step 6: Final answer
    x = 11,594.97

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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.