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Finding the Fourth Proportional to 22,286.80, 33,449.10 and 9,148.60

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Solution

The fourth proportional to 22,286.80, 33,449.10 and 9,148.60 is: 13,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.80 : 33,449.10 = 9,148.60 : x
  2. Step 2: Convert to fraction form
    22,286.80/33,449.10 = 9,148.60/x
  3. Step 3: Cross multiply
    22,286.80x = 33,449.10 × 9,148.60
  4. Step 4: Simplify right side
    22,286.80x = 306,012,436.26
  5. Step 5: Solve for x
    x = 306,012,436.26/22,286.80
  6. Step 6: Final answer
    x = 13,730.66

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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.