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Finding the Fourth Proportional to 20,099.64, 27,737.73 and 11,147.40

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Solution

The fourth proportional to 20,099.64, 27,737.73 and 11,147.40 is: 15,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.64 : 27,737.73 = 11,147.40 : x
  2. Step 2: Convert to fraction form
    20,099.64/27,737.73 = 11,147.40/x
  3. Step 3: Cross multiply
    20,099.64x = 27,737.73 × 11,147.40
  4. Step 4: Simplify right side
    20,099.64x = 309,203,571.40
  5. Step 5: Solve for x
    x = 309,203,571.40/20,099.64
  6. Step 6: Final answer
    x = 15,383.54

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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.