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Finding the Fourth Proportional to 22,644.98, 33,956.55 and 9,493.82

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Solution

The fourth proportional to 22,644.98, 33,956.55 and 9,493.82 is: 14,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.98 : 33,956.55 = 9,493.82 : x
  2. Step 2: Convert to fraction form
    22,644.98/33,956.55 = 9,493.82/x
  3. Step 3: Cross multiply
    22,644.98x = 33,956.55 × 9,493.82
  4. Step 4: Simplify right side
    22,644.98x = 322,377,373.52
  5. Step 5: Solve for x
    x = 322,377,373.52/22,644.98
  6. Step 6: Final answer
    x = 14,236.15

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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.