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Finding the Fourth Proportional to 13,754.25, 20,631.38 and 3,366

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Solution

The fourth proportional to 13,754.25, 20,631.38 and 3,366 is: 5,049

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.25 : 20,631.38 = 3,366 : x
  2. Step 2: Convert to fraction form
    13,754.25/20,631.38 = 3,366/x
  3. Step 3: Cross multiply
    13,754.25x = 20,631.38 × 3,366
  4. Step 4: Simplify right side
    13,754.25x = 69,445,208.25
  5. Step 5: Solve for x
    x = 69,445,208.25/13,754.25
  6. Step 6: Final answer
    x = 5,049

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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.