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Finding the Fourth Proportional to 22,035.68, 33,049.20 and 6,449.12

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Solution

The fourth proportional to 22,035.68, 33,049.20 and 6,449.12 is: 9,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.68 : 33,049.20 = 6,449.12 : x
  2. Step 2: Convert to fraction form
    22,035.68/33,049.20 = 6,449.12/x
  3. Step 3: Cross multiply
    22,035.68x = 33,049.20 × 6,449.12
  4. Step 4: Simplify right side
    22,035.68x = 213,138,256.70
  5. Step 5: Solve for x
    x = 213,138,256.70/22,035.68
  6. Step 6: Final answer
    x = 9,672.42

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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.