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Finding the Fourth Proportional to 16,824, 23,217.84 and 9,372

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Solution

The fourth proportional to 16,824, 23,217.84 and 9,372 is: 12,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824 : 23,217.84 = 9,372 : x
  2. Step 2: Convert to fraction form
    16,824/23,217.84 = 9,372/x
  3. Step 3: Cross multiply
    16,824x = 23,217.84 × 9,372
  4. Step 4: Simplify right side
    16,824x = 217,597,596.48
  5. Step 5: Solve for x
    x = 217,597,596.48/16,824
  6. Step 6: Final answer
    x = 12,933.76

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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.