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Finding the Fourth Proportional to 12,136.30, 16,748.38 and 7,944.54

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Solution

The fourth proportional to 12,136.30, 16,748.38 and 7,944.54 is: 10,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.30 : 16,748.38 = 7,944.54 : x
  2. Step 2: Convert to fraction form
    12,136.30/16,748.38 = 7,944.54/x
  3. Step 3: Cross multiply
    12,136.30x = 16,748.38 × 7,944.54
  4. Step 4: Simplify right side
    12,136.30x = 133,058,174.85
  5. Step 5: Solve for x
    x = 133,058,174.85/12,136.30
  6. Step 6: Final answer
    x = 10,963.65

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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.