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Finding the Fourth Proportional to 18,208.14, 27,286.56 and 14,493.84

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Solution

The fourth proportional to 18,208.14, 27,286.56 and 14,493.84 is: 21,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,208.14 : 27,286.56 = 14,493.84 : x
  2. Step 2: Convert to fraction form
    18,208.14/27,286.56 = 14,493.84/x
  3. Step 3: Cross multiply
    18,208.14x = 27,286.56 × 14,493.84
  4. Step 4: Simplify right side
    18,208.14x = 395,487,034.79
  5. Step 5: Solve for x
    x = 395,487,034.79/18,208.14
  6. Step 6: Final answer
    x = 21,720.34

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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.