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Finding the Fourth Proportional to 27,302.19, 40,945.91 and 11,716.17

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Solution

The fourth proportional to 27,302.19, 40,945.91 and 11,716.17 is: 17,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.19 : 40,945.91 = 11,716.17 : x
  2. Step 2: Convert to fraction form
    27,302.19/40,945.91 = 11,716.17/x
  3. Step 3: Cross multiply
    27,302.19x = 40,945.91 × 11,716.17
  4. Step 4: Simplify right side
    27,302.19x = 479,729,183.78
  5. Step 5: Solve for x
    x = 479,729,183.78/27,302.19
  6. Step 6: Final answer
    x = 17,571.09

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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.