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Finding the Fourth Proportional to 19,696.38, 29,546.41 and 7,847.28

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Solution

The fourth proportional to 19,696.38, 29,546.41 and 7,847.28 is: 11,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.38 : 29,546.41 = 7,847.28 : x
  2. Step 2: Convert to fraction form
    19,696.38/29,546.41 = 7,847.28/x
  3. Step 3: Cross multiply
    19,696.38x = 29,546.41 × 7,847.28
  4. Step 4: Simplify right side
    19,696.38x = 231,858,932.65
  5. Step 5: Solve for x
    x = 231,858,932.65/19,696.38
  6. Step 6: Final answer
    x = 11,771.65

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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.