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Finding the Fourth Proportional to 22,274.20, 33,384.30 and 12,896.20

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Solution

The fourth proportional to 22,274.20, 33,384.30 and 12,896.20 is: 19,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.20 : 33,384.30 = 12,896.20 : x
  2. Step 2: Convert to fraction form
    22,274.20/33,384.30 = 12,896.20/x
  3. Step 3: Cross multiply
    22,274.20x = 33,384.30 × 12,896.20
  4. Step 4: Simplify right side
    22,274.20x = 430,530,609.66
  5. Step 5: Solve for x
    x = 430,530,609.66/22,274.20
  6. Step 6: Final answer
    x = 19,328.67

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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.