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Finding the Fourth Proportional to 22,415.20, 33,614.70 and 9,082.60

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Solution

The fourth proportional to 22,415.20, 33,614.70 and 9,082.60 is: 13,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.20 : 33,614.70 = 9,082.60 : x
  2. Step 2: Convert to fraction form
    22,415.20/33,614.70 = 9,082.60/x
  3. Step 3: Cross multiply
    22,415.20x = 33,614.70 × 9,082.60
  4. Step 4: Simplify right side
    22,415.20x = 305,308,874.22
  5. Step 5: Solve for x
    x = 305,308,874.22/22,415.20
  6. Step 6: Final answer
    x = 13,620.62

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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.