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Finding the Fourth Proportional to 12,194.93, 18,279.84 and 4,796.39

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Solution

The fourth proportional to 12,194.93, 18,279.84 and 4,796.39 is: 7,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.93 : 18,279.84 = 4,796.39 : x
  2. Step 2: Convert to fraction form
    12,194.93/18,279.84 = 4,796.39/x
  3. Step 3: Cross multiply
    12,194.93x = 18,279.84 × 4,796.39
  4. Step 4: Simplify right side
    12,194.93x = 87,677,241.78
  5. Step 5: Solve for x
    x = 87,677,241.78/12,194.93
  6. Step 6: Final answer
    x = 7,189.65

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