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Finding the Fourth Proportional to 20,099.84, 27,736.20 and 11,601.80

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Solution

The fourth proportional to 20,099.84, 27,736.20 and 11,601.80 is: 16,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.84 : 27,736.20 = 11,601.80 : x
  2. Step 2: Convert to fraction form
    20,099.84/27,736.20 = 11,601.80/x
  3. Step 3: Cross multiply
    20,099.84x = 27,736.20 × 11,601.80
  4. Step 4: Simplify right side
    20,099.84x = 321,789,845.16
  5. Step 5: Solve for x
    x = 321,789,845.16/20,099.84
  6. Step 6: Final answer
    x = 16,009.57

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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.