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Finding the Fourth Proportional to 22,648.88, 33,982.91 and 12,116.14

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Solution

The fourth proportional to 22,648.88, 33,982.91 and 12,116.14 is: 18,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.88 : 33,982.91 = 12,116.14 : x
  2. Step 2: Convert to fraction form
    22,648.88/33,982.91 = 12,116.14/x
  3. Step 3: Cross multiply
    22,648.88x = 33,982.91 × 12,116.14
  4. Step 4: Simplify right side
    22,648.88x = 411,741,525.25
  5. Step 5: Solve for x
    x = 411,741,525.25/22,648.88
  6. Step 6: Final answer
    x = 18,179.34

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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.