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Finding the Fourth Proportional to 12,674.24, 19,009.20 and 3,906.80

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Solution

The fourth proportional to 12,674.24, 19,009.20 and 3,906.80 is: 5,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.24 : 19,009.20 = 3,906.80 : x
  2. Step 2: Convert to fraction form
    12,674.24/19,009.20 = 3,906.80/x
  3. Step 3: Cross multiply
    12,674.24x = 19,009.20 × 3,906.80
  4. Step 4: Simplify right side
    12,674.24x = 74,265,142.56
  5. Step 5: Solve for x
    x = 74,265,142.56/12,674.24
  6. Step 6: Final answer
    x = 5,859.53

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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.