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Finding the Fourth Proportional to 12,192.15, 16,822.47 and 7,942.79

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Solution

The fourth proportional to 12,192.15, 16,822.47 and 7,942.79 is: 10,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.15 : 16,822.47 = 7,942.79 : x
  2. Step 2: Convert to fraction form
    12,192.15/16,822.47 = 7,942.79/x
  3. Step 3: Cross multiply
    12,192.15x = 16,822.47 × 7,942.79
  4. Step 4: Simplify right side
    12,192.15x = 133,617,262.38
  5. Step 5: Solve for x
    x = 133,617,262.38/12,192.15
  6. Step 6: Final answer
    x = 10,959.29

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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.