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Finding the Fourth Proportional to 18,204.50, 27,306.86 and 6,358.22

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Solution

The fourth proportional to 18,204.50, 27,306.86 and 6,358.22 is: 9,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.50 : 27,306.86 = 6,358.22 : x
  2. Step 2: Convert to fraction form
    18,204.50/27,306.86 = 6,358.22/x
  3. Step 3: Cross multiply
    18,204.50x = 27,306.86 × 6,358.22
  4. Step 4: Simplify right side
    18,204.50x = 173,622,855.06
  5. Step 5: Solve for x
    x = 173,622,855.06/18,204.50
  6. Step 6: Final answer
    x = 9,537.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.