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Finding the Fourth Proportional to 19,902.78, 27,467.10 and 13,183.83

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Solution

The fourth proportional to 19,902.78, 27,467.10 and 13,183.83 is: 18,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.78 : 27,467.10 = 13,183.83 : x
  2. Step 2: Convert to fraction form
    19,902.78/27,467.10 = 13,183.83/x
  3. Step 3: Cross multiply
    19,902.78x = 27,467.10 × 13,183.83
  4. Step 4: Simplify right side
    19,902.78x = 362,121,576.99
  5. Step 5: Solve for x
    x = 362,121,576.99/19,902.78
  6. Step 6: Final answer
    x = 18,194.52

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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.