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Finding the Fourth Proportional to 12,514.80, 18,771.60 and 4,194.94

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Solution

The fourth proportional to 12,514.80, 18,771.60 and 4,194.94 is: 6,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.80 : 18,771.60 = 4,194.94 : x
  2. Step 2: Convert to fraction form
    12,514.80/18,771.60 = 4,194.94/x
  3. Step 3: Cross multiply
    12,514.80x = 18,771.60 × 4,194.94
  4. Step 4: Simplify right side
    12,514.80x = 78,745,716.11
  5. Step 5: Solve for x
    x = 78,745,716.11/12,514.80
  6. Step 6: Final answer
    x = 6,292.21

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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.