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Finding the Fourth Proportional to 13,662.84, 20,469.54 and 6,273.48

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Solution

The fourth proportional to 13,662.84, 20,469.54 and 6,273.48 is: 9,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.84 : 20,469.54 = 6,273.48 : x
  2. Step 2: Convert to fraction form
    13,662.84/20,469.54 = 6,273.48/x
  3. Step 3: Cross multiply
    13,662.84x = 20,469.54 × 6,273.48
  4. Step 4: Simplify right side
    13,662.84x = 128,415,249.80
  5. Step 5: Solve for x
    x = 128,415,249.80/13,662.84
  6. Step 6: Final answer
    x = 9,398.87

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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.