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Finding the Fourth Proportional to 16,546.23, 24,805.38 and 7,179.20

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Solution

The fourth proportional to 16,546.23, 24,805.38 and 7,179.20 is: 10,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.23 : 24,805.38 = 7,179.20 : x
  2. Step 2: Convert to fraction form
    16,546.23/24,805.38 = 7,179.20/x
  3. Step 3: Cross multiply
    16,546.23x = 24,805.38 × 7,179.20
  4. Step 4: Simplify right side
    16,546.23x = 178,082,660.07
  5. Step 5: Solve for x
    x = 178,082,660.07/16,546.23
  6. Step 6: Final answer
    x = 10,762.73

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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.