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Finding the Fourth Proportional to 12,942.14, 17,865.76 and 8,166.38

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Solution

The fourth proportional to 12,942.14, 17,865.76 and 8,166.38 is: 11,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.14 : 17,865.76 = 8,166.38 : x
  2. Step 2: Convert to fraction form
    12,942.14/17,865.76 = 8,166.38/x
  3. Step 3: Cross multiply
    12,942.14x = 17,865.76 × 8,166.38
  4. Step 4: Simplify right side
    12,942.14x = 145,898,585.15
  5. Step 5: Solve for x
    x = 145,898,585.15/12,942.14
  6. Step 6: Final answer
    x = 11,273.14

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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.