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Finding the Fourth Proportional to 21,234.82, 29,299.41 and 12,851.14

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Solution

The fourth proportional to 21,234.82, 29,299.41 and 12,851.14 is: 17,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.82 : 29,299.41 = 12,851.14 : x
  2. Step 2: Convert to fraction form
    21,234.82/29,299.41 = 12,851.14/x
  3. Step 3: Cross multiply
    21,234.82x = 29,299.41 × 12,851.14
  4. Step 4: Simplify right side
    21,234.82x = 376,530,819.83
  5. Step 5: Solve for x
    x = 376,530,819.83/21,234.82
  6. Step 6: Final answer
    x = 17,731.76

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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.