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Finding the Fourth Proportional to 33,686.43, 50,502.21 and 12,614.64

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Solution

The fourth proportional to 33,686.43, 50,502.21 and 12,614.64 is: 18,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686.43 : 50,502.21 = 12,614.64 : x
  2. Step 2: Convert to fraction form
    33,686.43/50,502.21 = 12,614.64/x
  3. Step 3: Cross multiply
    33,686.43x = 50,502.21 × 12,614.64
  4. Step 4: Simplify right side
    33,686.43x = 637,067,198.35
  5. Step 5: Solve for x
    x = 637,067,198.35/33,686.43
  6. Step 6: Final answer
    x = 18,911.69

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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.