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Finding the Fourth Proportional to 21,682.33, 29,914.13 and 13,181.78

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Solution

The fourth proportional to 21,682.33, 29,914.13 and 13,181.78 is: 18,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.33 : 29,914.13 = 13,181.78 : x
  2. Step 2: Convert to fraction form
    21,682.33/29,914.13 = 13,181.78/x
  3. Step 3: Cross multiply
    21,682.33x = 29,914.13 × 13,181.78
  4. Step 4: Simplify right side
    21,682.33x = 394,321,588.29
  5. Step 5: Solve for x
    x = 394,321,588.29/21,682.33
  6. Step 6: Final answer
    x = 18,186.31

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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.