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Finding the Fourth Proportional to 12,234.30, 18,351.45 and 11,165.10

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Solution

The fourth proportional to 12,234.30, 18,351.45 and 11,165.10 is: 16,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.30 : 18,351.45 = 11,165.10 : x
  2. Step 2: Convert to fraction form
    12,234.30/18,351.45 = 11,165.10/x
  3. Step 3: Cross multiply
    12,234.30x = 18,351.45 × 11,165.10
  4. Step 4: Simplify right side
    12,234.30x = 204,895,774.40
  5. Step 5: Solve for x
    x = 204,895,774.40/12,234.30
  6. Step 6: Final answer
    x = 16,747.65

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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.