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Finding the Fourth Proportional to 18,089.42, 27,138.02 and 5,609.18

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Solution

The fourth proportional to 18,089.42, 27,138.02 and 5,609.18 is: 8,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,089.42 : 27,138.02 = 5,609.18 : x
  2. Step 2: Convert to fraction form
    18,089.42/27,138.02 = 5,609.18/x
  3. Step 3: Cross multiply
    18,089.42x = 27,138.02 × 5,609.18
  4. Step 4: Simplify right side
    18,089.42x = 152,221,875.29
  5. Step 5: Solve for x
    x = 152,221,875.29/18,089.42
  6. Step 6: Final answer
    x = 8,414.97

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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.