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Finding the Fourth Proportional to 22,786.70, 31,433.01 and 13,353.44

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Solution

The fourth proportional to 22,786.70, 31,433.01 and 13,353.44 is: 18,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.70 : 31,433.01 = 13,353.44 : x
  2. Step 2: Convert to fraction form
    22,786.70/31,433.01 = 13,353.44/x
  3. Step 3: Cross multiply
    22,786.70x = 31,433.01 × 13,353.44
  4. Step 4: Simplify right side
    22,786.70x = 419,738,813.05
  5. Step 5: Solve for x
    x = 419,738,813.05/22,786.70
  6. Step 6: Final answer
    x = 18,420.34

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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.