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Finding the Fourth Proportional to 21,161.14, 31,757.64 and 14,481.64

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Solution

The fourth proportional to 21,161.14, 31,757.64 and 14,481.64 is: 21,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.14 : 31,757.64 = 14,481.64 : x
  2. Step 2: Convert to fraction form
    21,161.14/31,757.64 = 14,481.64/x
  3. Step 3: Cross multiply
    21,161.14x = 31,757.64 × 14,481.64
  4. Step 4: Simplify right side
    21,161.14x = 459,902,709.73
  5. Step 5: Solve for x
    x = 459,902,709.73/21,161.14
  6. Step 6: Final answer
    x = 21,733.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.