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Finding the Fourth Proportional to 21,857, 30,162.84 and 11,921

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Solution

The fourth proportional to 21,857, 30,162.84 and 11,921 is: 16,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857 : 30,162.84 = 11,921 : x
  2. Step 2: Convert to fraction form
    21,857/30,162.84 = 11,921/x
  3. Step 3: Cross multiply
    21,857x = 30,162.84 × 11,921
  4. Step 4: Simplify right side
    21,857x = 359,571,215.64
  5. Step 5: Solve for x
    x = 359,571,215.64/21,857
  6. Step 6: Final answer
    x = 16,451.08

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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.