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Finding the Fourth Proportional to 13,474, 18,595.38 and 7,885

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Solution

The fourth proportional to 13,474, 18,595.38 and 7,885 is: 10,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474 : 18,595.38 = 7,885 : x
  2. Step 2: Convert to fraction form
    13,474/18,595.38 = 7,885/x
  3. Step 3: Cross multiply
    13,474x = 18,595.38 × 7,885
  4. Step 4: Simplify right side
    13,474x = 146,624,571.30
  5. Step 5: Solve for x
    x = 146,624,571.30/13,474
  6. Step 6: Final answer
    x = 10,882.04

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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.