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Finding the Fourth Proportional to 27,767.81, 41,651.69 and 9,047.82

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Solution

The fourth proportional to 27,767.81, 41,651.69 and 9,047.82 is: 13,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.81 : 41,651.69 = 9,047.82 : x
  2. Step 2: Convert to fraction form
    27,767.81/41,651.69 = 9,047.82/x
  3. Step 3: Cross multiply
    27,767.81x = 41,651.69 × 9,047.82
  4. Step 4: Simplify right side
    27,767.81x = 376,856,993.82
  5. Step 5: Solve for x
    x = 376,856,993.82/27,767.81
  6. Step 6: Final answer
    x = 13,571.72

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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.