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Finding the Fourth Proportional to 21,906.26, 30,219.80 and 12,949.46

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Solution

The fourth proportional to 21,906.26, 30,219.80 and 12,949.46 is: 17,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.26 : 30,219.80 = 12,949.46 : x
  2. Step 2: Convert to fraction form
    21,906.26/30,219.80 = 12,949.46/x
  3. Step 3: Cross multiply
    21,906.26x = 30,219.80 × 12,949.46
  4. Step 4: Simplify right side
    21,906.26x = 391,330,091.31
  5. Step 5: Solve for x
    x = 391,330,091.31/21,906.26
  6. Step 6: Final answer
    x = 17,863.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.