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Finding the Fourth Proportional to 22,147.40, 33,233.24 and 8,996.24

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Solution

The fourth proportional to 22,147.40, 33,233.24 and 8,996.24 is: 13,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.40 : 33,233.24 = 8,996.24 : x
  2. Step 2: Convert to fraction form
    22,147.40/33,233.24 = 8,996.24/x
  3. Step 3: Cross multiply
    22,147.40x = 33,233.24 × 8,996.24
  4. Step 4: Simplify right side
    22,147.40x = 298,974,059.34
  5. Step 5: Solve for x
    x = 298,974,059.34/22,147.40
  6. Step 6: Final answer
    x = 13,499.29

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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.