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Finding the Fourth Proportional to 22,481.44, 33,684.72 and 13,689.76

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Solution

The fourth proportional to 22,481.44, 33,684.72 and 13,689.76 is: 20,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.44 : 33,684.72 = 13,689.76 : x
  2. Step 2: Convert to fraction form
    22,481.44/33,684.72 = 13,689.76/x
  3. Step 3: Cross multiply
    22,481.44x = 33,684.72 × 13,689.76
  4. Step 4: Simplify right side
    22,481.44x = 461,135,732.47
  5. Step 5: Solve for x
    x = 461,135,732.47/22,481.44
  6. Step 6: Final answer
    x = 20,511.84

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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.