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Finding the Fourth Proportional to 20,099.70, 27,737.60 and 11,147.31

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Solution

The fourth proportional to 20,099.70, 27,737.60 and 11,147.31 is: 15,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.70 : 27,737.60 = 11,147.31 : x
  2. Step 2: Convert to fraction form
    20,099.70/27,737.60 = 11,147.31/x
  3. Step 3: Cross multiply
    20,099.70x = 27,737.60 × 11,147.31
  4. Step 4: Simplify right side
    20,099.70x = 309,199,570.12
  5. Step 5: Solve for x
    x = 309,199,570.12/20,099.70
  6. Step 6: Final answer
    x = 15,383.29

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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.