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Finding the Fourth Proportional to 27,696.98, 41,544.09 and 10,165.43

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Solution

The fourth proportional to 27,696.98, 41,544.09 and 10,165.43 is: 15,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.98 : 41,544.09 = 10,165.43 : x
  2. Step 2: Convert to fraction form
    27,696.98/41,544.09 = 10,165.43/x
  3. Step 3: Cross multiply
    27,696.98x = 41,544.09 × 10,165.43
  4. Step 4: Simplify right side
    27,696.98x = 422,313,538.81
  5. Step 5: Solve for x
    x = 422,313,538.81/27,696.98
  6. Step 6: Final answer
    x = 15,247.64

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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.