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Finding the Fourth Proportional to 12,791.36, 19,189.09 and 5,396.91

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Solution

The fourth proportional to 12,791.36, 19,189.09 and 5,396.91 is: 8,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.36 : 19,189.09 = 5,396.91 : x
  2. Step 2: Convert to fraction form
    12,791.36/19,189.09 = 5,396.91/x
  3. Step 3: Cross multiply
    12,791.36x = 19,189.09 × 5,396.91
  4. Step 4: Simplify right side
    12,791.36x = 103,561,803.45
  5. Step 5: Solve for x
    x = 103,561,803.45/12,791.36
  6. Step 6: Final answer
    x = 8,096.23

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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.