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Finding the Fourth Proportional to 20,099.82, 27,737.73 and 11,147.34

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Solution

The fourth proportional to 20,099.82, 27,737.73 and 11,147.34 is: 15,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.82 : 27,737.73 = 11,147.34 : x
  2. Step 2: Convert to fraction form
    20,099.82/27,737.73 = 11,147.34/x
  3. Step 3: Cross multiply
    20,099.82x = 27,737.73 × 11,147.34
  4. Step 4: Simplify right side
    20,099.82x = 309,201,907.14
  5. Step 5: Solve for x
    x = 309,201,907.14/20,099.82
  6. Step 6: Final answer
    x = 15,383.32

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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.