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Finding the Fourth Proportional to 20,099.75, 27,737.24 and 11,145.80

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Solution

The fourth proportional to 20,099.75, 27,737.24 and 11,145.80 is: 15,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.75 : 27,737.24 = 11,145.80 : x
  2. Step 2: Convert to fraction form
    20,099.75/27,737.24 = 11,145.80/x
  3. Step 3: Cross multiply
    20,099.75x = 27,737.24 × 11,145.80
  4. Step 4: Simplify right side
    20,099.75x = 309,153,743.21
  5. Step 5: Solve for x
    x = 309,153,743.21/20,099.75
  6. Step 6: Final answer
    x = 15,380.98

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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.