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Finding the Fourth Proportional to 27,400.71, 41,097.27 and 11,816.31

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Solution

The fourth proportional to 27,400.71, 41,097.27 and 11,816.31 is: 17,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400.71 : 41,097.27 = 11,816.31 : x
  2. Step 2: Convert to fraction form
    27,400.71/41,097.27 = 11,816.31/x
  3. Step 3: Cross multiply
    27,400.71x = 41,097.27 × 11,816.31
  4. Step 4: Simplify right side
    27,400.71x = 485,618,082.47
  5. Step 5: Solve for x
    x = 485,618,082.47/27,400.71
  6. Step 6: Final answer
    x = 17,722.83

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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.