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Finding the Fourth Proportional to 18,089.31, 27,137.87 and 5,609.09

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Solution

The fourth proportional to 18,089.31, 27,137.87 and 5,609.09 is: 8,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,089.31 : 27,137.87 = 5,609.09 : x
  2. Step 2: Convert to fraction form
    18,089.31/27,137.87 = 5,609.09/x
  3. Step 3: Cross multiply
    18,089.31x = 27,137.87 × 5,609.09
  4. Step 4: Simplify right side
    18,089.31x = 152,218,663.42
  5. Step 5: Solve for x
    x = 152,218,663.42/18,089.31
  6. Step 6: Final answer
    x = 8,414.84

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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.