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Finding the Fourth Proportional to 26,415.15, 39,629.62 and 7,694.80

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Solution

The fourth proportional to 26,415.15, 39,629.62 and 7,694.80 is: 11,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,415.15 : 39,629.62 = 7,694.80 : x
  2. Step 2: Convert to fraction form
    26,415.15/39,629.62 = 7,694.80/x
  3. Step 3: Cross multiply
    26,415.15x = 39,629.62 × 7,694.80
  4. Step 4: Simplify right side
    26,415.15x = 304,941,910.52
  5. Step 5: Solve for x
    x = 304,941,910.52/26,415.15
  6. Step 6: Final answer
    x = 11,544.21

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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.