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Finding the Fourth Proportional to 12,644.84, 17,446.38 and 8,168.78

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Solution

The fourth proportional to 12,644.84, 17,446.38 and 8,168.78 is: 11,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.84 : 17,446.38 = 8,168.78 : x
  2. Step 2: Convert to fraction form
    12,644.84/17,446.38 = 8,168.78/x
  3. Step 3: Cross multiply
    12,644.84x = 17,446.38 × 8,168.78
  4. Step 4: Simplify right side
    12,644.84x = 142,515,640.02
  5. Step 5: Solve for x
    x = 142,515,640.02/12,644.84
  6. Step 6: Final answer
    x = 11,270.66

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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.