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Finding the Fourth Proportional to 20,180.99, 27,846.78 and 11,228.60

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Solution

The fourth proportional to 20,180.99, 27,846.78 and 11,228.60 is: 15,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.99 : 27,846.78 = 11,228.60 : x
  2. Step 2: Convert to fraction form
    20,180.99/27,846.78 = 11,228.60/x
  3. Step 3: Cross multiply
    20,180.99x = 27,846.78 × 11,228.60
  4. Step 4: Simplify right side
    20,180.99x = 312,680,353.91
  5. Step 5: Solve for x
    x = 312,680,353.91/20,180.99
  6. Step 6: Final answer
    x = 15,493.81

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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.