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Finding the Fourth Proportional to 22,732.56, 34,076.80 and 11,644.48

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Solution

The fourth proportional to 22,732.56, 34,076.80 and 11,644.48 is: 17,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.56 : 34,076.80 = 11,644.48 : x
  2. Step 2: Convert to fraction form
    22,732.56/34,076.80 = 11,644.48/x
  3. Step 3: Cross multiply
    22,732.56x = 34,076.80 × 11,644.48
  4. Step 4: Simplify right side
    22,732.56x = 396,806,616.06
  5. Step 5: Solve for x
    x = 396,806,616.06/22,732.56
  6. Step 6: Final answer
    x = 17,455.43

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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.