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Finding the Fourth Proportional to 12,176.14, 16,796 and 8,393.44

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Solution

The fourth proportional to 12,176.14, 16,796 and 8,393.44 is: 11,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.14 : 16,796 = 8,393.44 : x
  2. Step 2: Convert to fraction form
    12,176.14/16,796 = 8,393.44/x
  3. Step 3: Cross multiply
    12,176.14x = 16,796 × 8,393.44
  4. Step 4: Simplify right side
    12,176.14x = 140,976,218.24
  5. Step 5: Solve for x
    x = 140,976,218.24/12,176.14
  6. Step 6: Final answer
    x = 11,578.07

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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.