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Finding the Fourth Proportional to 21,812, 30,100.60 and 11,876

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Solution

The fourth proportional to 21,812, 30,100.60 and 11,876 is: 16,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812 : 30,100.60 = 11,876 : x
  2. Step 2: Convert to fraction form
    21,812/30,100.60 = 11,876/x
  3. Step 3: Cross multiply
    21,812x = 30,100.60 × 11,876
  4. Step 4: Simplify right side
    21,812x = 357,474,725.60
  5. Step 5: Solve for x
    x = 357,474,725.60/21,812
  6. Step 6: Final answer
    x = 16,388.90

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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.