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Finding the Fourth Proportional to 16,824, 25,236 and 4,512

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Solution

The fourth proportional to 16,824, 25,236 and 4,512 is: 6,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824 : 25,236 = 4,512 : x
  2. Step 2: Convert to fraction form
    16,824/25,236 = 4,512/x
  3. Step 3: Cross multiply
    16,824x = 25,236 × 4,512
  4. Step 4: Simplify right side
    16,824x = 113,864,832
  5. Step 5: Solve for x
    x = 113,864,832/16,824
  6. Step 6: Final answer
    x = 6,768

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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.