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Finding the Fourth Proportional to 26,940.80, 40,415.46 and 8,216.54

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Solution

The fourth proportional to 26,940.80, 40,415.46 and 8,216.54 is: 12,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,940.80 : 40,415.46 = 8,216.54 : x
  2. Step 2: Convert to fraction form
    26,940.80/40,415.46 = 8,216.54/x
  3. Step 3: Cross multiply
    26,940.80x = 40,415.46 × 8,216.54
  4. Step 4: Simplify right side
    26,940.80x = 332,075,243.71
  5. Step 5: Solve for x
    x = 332,075,243.71/26,940.80
  6. Step 6: Final answer
    x = 12,326.11

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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.