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Finding the Fourth Proportional to 23,677.44, 32,674.98 and 13,067.38

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Solution

The fourth proportional to 23,677.44, 32,674.98 and 13,067.38 is: 18,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,677.44 : 32,674.98 = 13,067.38 : x
  2. Step 2: Convert to fraction form
    23,677.44/32,674.98 = 13,067.38/x
  3. Step 3: Cross multiply
    23,677.44x = 32,674.98 × 13,067.38
  4. Step 4: Simplify right side
    23,677.44x = 426,976,380.15
  5. Step 5: Solve for x
    x = 426,976,380.15/23,677.44
  6. Step 6: Final answer
    x = 18,033.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.