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Finding the Fourth Proportional to 12,169.34, 18,255.79 and 3,847.46

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Solution

The fourth proportional to 12,169.34, 18,255.79 and 3,847.46 is: 5,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.34 : 18,255.79 = 3,847.46 : x
  2. Step 2: Convert to fraction form
    12,169.34/18,255.79 = 3,847.46/x
  3. Step 3: Cross multiply
    12,169.34x = 18,255.79 × 3,847.46
  4. Step 4: Simplify right side
    12,169.34x = 70,238,472.24
  5. Step 5: Solve for x
    x = 70,238,472.24/12,169.34
  6. Step 6: Final answer
    x = 5,771.76

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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.