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Finding the Fourth Proportional to 22,637.74, 33,947.97 and 12,243.82

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Solution

The fourth proportional to 22,637.74, 33,947.97 and 12,243.82 is: 18,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,637.74 : 33,947.97 = 12,243.82 : x
  2. Step 2: Convert to fraction form
    22,637.74/33,947.97 = 12,243.82/x
  3. Step 3: Cross multiply
    22,637.74x = 33,947.97 × 12,243.82
  4. Step 4: Simplify right side
    22,637.74x = 415,652,834.05
  5. Step 5: Solve for x
    x = 415,652,834.05/22,637.74
  6. Step 6: Final answer
    x = 18,361.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.