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Finding the Fourth Proportional to 27,940.96, 41,896.32 and 13,870.09

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Solution

The fourth proportional to 27,940.96, 41,896.32 and 13,870.09 is: 20,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.96 : 41,896.32 = 13,870.09 : x
  2. Step 2: Convert to fraction form
    27,940.96/41,896.32 = 13,870.09/x
  3. Step 3: Cross multiply
    27,940.96x = 41,896.32 × 13,870.09
  4. Step 4: Simplify right side
    27,940.96x = 581,105,729.07
  5. Step 5: Solve for x
    x = 581,105,729.07/27,940.96
  6. Step 6: Final answer
    x = 20,797.63

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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.