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Finding the Fourth Proportional to 20,138.41, 27,794.64 and 11,639.35

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Solution

The fourth proportional to 20,138.41, 27,794.64 and 11,639.35 is: 16,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.41 : 27,794.64 = 11,639.35 : x
  2. Step 2: Convert to fraction form
    20,138.41/27,794.64 = 11,639.35/x
  3. Step 3: Cross multiply
    20,138.41x = 27,794.64 × 11,639.35
  4. Step 4: Simplify right side
    20,138.41x = 323,511,556.00
  5. Step 5: Solve for x
    x = 323,511,556.00/20,138.41
  6. Step 6: Final answer
    x = 16,064.41

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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.