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Finding the Fourth Proportional to 12,279.38, 16,927.70 and 8,496.78

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Solution

The fourth proportional to 12,279.38, 16,927.70 and 8,496.78 is: 11,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279.38 : 16,927.70 = 8,496.78 : x
  2. Step 2: Convert to fraction form
    12,279.38/16,927.70 = 8,496.78/x
  3. Step 3: Cross multiply
    12,279.38x = 16,927.70 × 8,496.78
  4. Step 4: Simplify right side
    12,279.38x = 143,830,942.81
  5. Step 5: Solve for x
    x = 143,830,942.81/12,279.38
  6. Step 6: Final answer
    x = 11,713.21

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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.