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Finding the Fourth Proportional to 22,138.14, 33,189.12 and 10,299.30

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Solution

The fourth proportional to 22,138.14, 33,189.12 and 10,299.30 is: 15,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.14 : 33,189.12 = 10,299.30 : x
  2. Step 2: Convert to fraction form
    22,138.14/33,189.12 = 10,299.30/x
  3. Step 3: Cross multiply
    22,138.14x = 33,189.12 × 10,299.30
  4. Step 4: Simplify right side
    22,138.14x = 341,824,703.62
  5. Step 5: Solve for x
    x = 341,824,703.62/22,138.14
  6. Step 6: Final answer
    x = 15,440.53

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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.