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Finding the Fourth Proportional to 22,611.97, 31,202.46 and 12,540.38

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Solution

The fourth proportional to 22,611.97, 31,202.46 and 12,540.38 is: 17,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.97 : 31,202.46 = 12,540.38 : x
  2. Step 2: Convert to fraction form
    22,611.97/31,202.46 = 12,540.38/x
  3. Step 3: Cross multiply
    22,611.97x = 31,202.46 × 12,540.38
  4. Step 4: Simplify right side
    22,611.97x = 391,290,783.34
  5. Step 5: Solve for x
    x = 391,290,783.34/22,611.97
  6. Step 6: Final answer
    x = 17,304.59

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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.