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Finding the Fourth Proportional to 13,908.38, 19,195.83 and 7,940.30

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Solution

The fourth proportional to 13,908.38, 19,195.83 and 7,940.30 is: 10,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.38 : 19,195.83 = 7,940.30 : x
  2. Step 2: Convert to fraction form
    13,908.38/19,195.83 = 7,940.30/x
  3. Step 3: Cross multiply
    13,908.38x = 19,195.83 × 7,940.30
  4. Step 4: Simplify right side
    13,908.38x = 152,420,648.95
  5. Step 5: Solve for x
    x = 152,420,648.95/13,908.38
  6. Step 6: Final answer
    x = 10,958.91

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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.