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Finding the Fourth Proportional to 18,234.68, 25,165.76 and 11,165.80

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Solution

The fourth proportional to 18,234.68, 25,165.76 and 11,165.80 is: 15,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.68 : 25,165.76 = 11,165.80 : x
  2. Step 2: Convert to fraction form
    18,234.68/25,165.76 = 11,165.80/x
  3. Step 3: Cross multiply
    18,234.68x = 25,165.76 × 11,165.80
  4. Step 4: Simplify right side
    18,234.68x = 280,995,843.01
  5. Step 5: Solve for x
    x = 280,995,843.01/18,234.68
  6. Step 6: Final answer
    x = 15,409.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.