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Finding the Fourth Proportional to 14,107.05, 19,469.81 and 8,137.56

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Solution

The fourth proportional to 14,107.05, 19,469.81 and 8,137.56 is: 11,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.05 : 19,469.81 = 8,137.56 : x
  2. Step 2: Convert to fraction form
    14,107.05/19,469.81 = 8,137.56/x
  3. Step 3: Cross multiply
    14,107.05x = 19,469.81 × 8,137.56
  4. Step 4: Simplify right side
    14,107.05x = 158,436,706.38
  5. Step 5: Solve for x
    x = 158,436,706.38/14,107.05
  6. Step 6: Final answer
    x = 11,231.03

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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.