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Finding the Fourth Proportional to 12,769.60, 17,613.44 and 8,049.92

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Solution

The fourth proportional to 12,769.60, 17,613.44 and 8,049.92 is: 11,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.60 : 17,613.44 = 8,049.92 : x
  2. Step 2: Convert to fraction form
    12,769.60/17,613.44 = 8,049.92/x
  3. Step 3: Cross multiply
    12,769.60x = 17,613.44 × 8,049.92
  4. Step 4: Simplify right side
    12,769.60x = 141,786,782.92
  5. Step 5: Solve for x
    x = 141,786,782.92/12,769.60
  6. Step 6: Final answer
    x = 11,103.46

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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.