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Finding the Fourth Proportional to 18,396.78, 27,599.24 and 6,709.96

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Solution

The fourth proportional to 18,396.78, 27,599.24 and 6,709.96 is: 10,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,396.78 : 27,599.24 = 6,709.96 : x
  2. Step 2: Convert to fraction form
    18,396.78/27,599.24 = 6,709.96/x
  3. Step 3: Cross multiply
    18,396.78x = 27,599.24 × 6,709.96
  4. Step 4: Simplify right side
    18,396.78x = 185,189,796.43
  5. Step 5: Solve for x
    x = 185,189,796.43/18,396.78
  6. Step 6: Final answer
    x = 10,066.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.