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Finding the Fourth Proportional to 22,181.94, 33,256.50 and 13,414.90

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Solution

The fourth proportional to 22,181.94, 33,256.50 and 13,414.90 is: 20,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181.94 : 33,256.50 = 13,414.90 : x
  2. Step 2: Convert to fraction form
    22,181.94/33,256.50 = 13,414.90/x
  3. Step 3: Cross multiply
    22,181.94x = 33,256.50 × 13,414.90
  4. Step 4: Simplify right side
    22,181.94x = 446,132,755.30
  5. Step 5: Solve for x
    x = 446,132,755.30/22,181.94
  6. Step 6: Final answer
    x = 20,112.43

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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.