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Finding the Fourth Proportional to 26,674.36, 40,015.86 and 8,206.36

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Solution

The fourth proportional to 26,674.36, 40,015.86 and 8,206.36 is: 12,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,674.36 : 40,015.86 = 8,206.36 : x
  2. Step 2: Convert to fraction form
    26,674.36/40,015.86 = 8,206.36/x
  3. Step 3: Cross multiply
    26,674.36x = 40,015.86 × 8,206.36
  4. Step 4: Simplify right side
    26,674.36x = 328,384,552.87
  5. Step 5: Solve for x
    x = 328,384,552.87/26,674.36
  6. Step 6: Final answer
    x = 12,310.87

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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.