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Finding the Fourth Proportional to 18,209.18, 27,324.39 and 7,678.56

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Solution

The fourth proportional to 18,209.18, 27,324.39 and 7,678.56 is: 11,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.18 : 27,324.39 = 7,678.56 : x
  2. Step 2: Convert to fraction form
    18,209.18/27,324.39 = 7,678.56/x
  3. Step 3: Cross multiply
    18,209.18x = 27,324.39 × 7,678.56
  4. Step 4: Simplify right side
    18,209.18x = 209,811,968.08
  5. Step 5: Solve for x
    x = 209,811,968.08/18,209.18
  6. Step 6: Final answer
    x = 11,522.32

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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.