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Finding the Fourth Proportional to 21,824, 32,736 and 9,512

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Solution

The fourth proportional to 21,824, 32,736 and 9,512 is: 14,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824 : 32,736 = 9,512 : x
  2. Step 2: Convert to fraction form
    21,824/32,736 = 9,512/x
  3. Step 3: Cross multiply
    21,824x = 32,736 × 9,512
  4. Step 4: Simplify right side
    21,824x = 311,384,832
  5. Step 5: Solve for x
    x = 311,384,832/21,824
  6. Step 6: Final answer
    x = 14,268

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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.