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Finding the Fourth Proportional to 18,121.84, 24,997.52 and 11,396.80

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Solution

The fourth proportional to 18,121.84, 24,997.52 and 11,396.80 is: 15,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121.84 : 24,997.52 = 11,396.80 : x
  2. Step 2: Convert to fraction form
    18,121.84/24,997.52 = 11,396.80/x
  3. Step 3: Cross multiply
    18,121.84x = 24,997.52 × 11,396.80
  4. Step 4: Simplify right side
    18,121.84x = 284,891,735.94
  5. Step 5: Solve for x
    x = 284,891,735.94/18,121.84
  6. Step 6: Final answer
    x = 15,720.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.