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Finding the Fourth Proportional to 21,524, 32,286 and 6,932

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Solution

The fourth proportional to 21,524, 32,286 and 6,932 is: 10,398

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524 : 32,286 = 6,932 : x
  2. Step 2: Convert to fraction form
    21,524/32,286 = 6,932/x
  3. Step 3: Cross multiply
    21,524x = 32,286 × 6,932
  4. Step 4: Simplify right side
    21,524x = 223,806,552
  5. Step 5: Solve for x
    x = 223,806,552/21,524
  6. Step 6: Final answer
    x = 10,398

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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.