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Finding the Fourth Proportional to 16,546.29, 24,805.47 and 7,179.24

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Solution

The fourth proportional to 16,546.29, 24,805.47 and 7,179.24 is: 10,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.29 : 24,805.47 = 7,179.24 : x
  2. Step 2: Convert to fraction form
    16,546.29/24,805.47 = 7,179.24/x
  3. Step 3: Cross multiply
    16,546.29x = 24,805.47 × 7,179.24
  4. Step 4: Simplify right side
    16,546.29x = 178,084,422.44
  5. Step 5: Solve for x
    x = 178,084,422.44/16,546.29
  6. Step 6: Final answer
    x = 10,762.80

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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.