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Finding the Fourth Proportional to 14,142.38, 19,512.09 and 8,171.87

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Solution

The fourth proportional to 14,142.38, 19,512.09 and 8,171.87 is: 11,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.38 : 19,512.09 = 8,171.87 : x
  2. Step 2: Convert to fraction form
    14,142.38/19,512.09 = 8,171.87/x
  3. Step 3: Cross multiply
    14,142.38x = 19,512.09 × 8,171.87
  4. Step 4: Simplify right side
    14,142.38x = 159,450,311.69
  5. Step 5: Solve for x
    x = 159,450,311.69/14,142.38
  6. Step 6: Final answer
    x = 11,274.64

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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.