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Finding the Fourth Proportional to 21,910.70, 30,234.36 and 13,414.97

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Solution

The fourth proportional to 21,910.70, 30,234.36 and 13,414.97 is: 18,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.70 : 30,234.36 = 13,414.97 : x
  2. Step 2: Convert to fraction form
    21,910.70/30,234.36 = 13,414.97/x
  3. Step 3: Cross multiply
    21,910.70x = 30,234.36 × 13,414.97
  4. Step 4: Simplify right side
    21,910.70x = 405,592,988.19
  5. Step 5: Solve for x
    x = 405,592,988.19/21,910.70
  6. Step 6: Final answer
    x = 18,511.18

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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.