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Finding the Fourth Proportional to 13,482, 20,223 and 3,754

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Solution

The fourth proportional to 13,482, 20,223 and 3,754 is: 5,631

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482 : 20,223 = 3,754 : x
  2. Step 2: Convert to fraction form
    13,482/20,223 = 3,754/x
  3. Step 3: Cross multiply
    13,482x = 20,223 × 3,754
  4. Step 4: Simplify right side
    13,482x = 75,917,142
  5. Step 5: Solve for x
    x = 75,917,142/13,482
  6. Step 6: Final answer
    x = 5,631

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.