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Finding the Fourth Proportional to 22,757.49, 31,396.31 and 13,801.73

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Solution

The fourth proportional to 22,757.49, 31,396.31 and 13,801.73 is: 19,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.49 : 31,396.31 = 13,801.73 : x
  2. Step 2: Convert to fraction form
    22,757.49/31,396.31 = 13,801.73/x
  3. Step 3: Cross multiply
    22,757.49x = 31,396.31 × 13,801.73
  4. Step 4: Simplify right side
    22,757.49x = 433,323,219.38
  5. Step 5: Solve for x
    x = 433,323,219.38/22,757.49
  6. Step 6: Final answer
    x = 19,040.91

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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.