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Finding the Fourth Proportional to 11,998.14, 17,994.24 and 3,232.86

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Solution

The fourth proportional to 11,998.14, 17,994.24 and 3,232.86 is: 4,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.14 : 17,994.24 = 3,232.86 : x
  2. Step 2: Convert to fraction form
    11,998.14/17,994.24 = 3,232.86/x
  3. Step 3: Cross multiply
    11,998.14x = 17,994.24 × 3,232.86
  4. Step 4: Simplify right side
    11,998.14x = 58,172,858.73
  5. Step 5: Solve for x
    x = 58,172,858.73/11,998.14
  6. Step 6: Final answer
    x = 4,848.49

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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.