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Finding the Fourth Proportional to 18,204.30, 27,306.45 and 9,456.30

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Solution

The fourth proportional to 18,204.30, 27,306.45 and 9,456.30 is: 14,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.30 : 27,306.45 = 9,456.30 : x
  2. Step 2: Convert to fraction form
    18,204.30/27,306.45 = 9,456.30/x
  3. Step 3: Cross multiply
    18,204.30x = 27,306.45 × 9,456.30
  4. Step 4: Simplify right side
    18,204.30x = 258,217,983.14
  5. Step 5: Solve for x
    x = 258,217,983.14/18,204.30
  6. Step 6: Final answer
    x = 14,184.45

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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.