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Finding the Fourth Proportional to 22,427.70, 33,629.40 and 9,265.20

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Solution

The fourth proportional to 22,427.70, 33,629.40 and 9,265.20 is: 13,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.70 : 33,629.40 = 9,265.20 : x
  2. Step 2: Convert to fraction form
    22,427.70/33,629.40 = 9,265.20/x
  3. Step 3: Cross multiply
    22,427.70x = 33,629.40 × 9,265.20
  4. Step 4: Simplify right side
    22,427.70x = 311,583,116.88
  5. Step 5: Solve for x
    x = 311,583,116.88/22,427.70
  6. Step 6: Final answer
    x = 13,892.78

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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.