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Finding the Fourth Proportional to 13,794.30, 20,679.84 and 5,997.24

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Solution

The fourth proportional to 13,794.30, 20,679.84 and 5,997.24 is: 8,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.30 : 20,679.84 = 5,997.24 : x
  2. Step 2: Convert to fraction form
    13,794.30/20,679.84 = 5,997.24/x
  3. Step 3: Cross multiply
    13,794.30x = 20,679.84 × 5,997.24
  4. Step 4: Simplify right side
    13,794.30x = 124,021,963.64
  5. Step 5: Solve for x
    x = 124,021,963.64/13,794.30
  6. Step 6: Final answer
    x = 8,990.81

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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.