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Finding the Fourth Proportional to 16,380.67, 24,575.25 and 4,694.80

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Solution

The fourth proportional to 16,380.67, 24,575.25 and 4,694.80 is: 7,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.67 : 24,575.25 = 4,694.80 : x
  2. Step 2: Convert to fraction form
    16,380.67/24,575.25 = 4,694.80/x
  3. Step 3: Cross multiply
    16,380.67x = 24,575.25 × 4,694.80
  4. Step 4: Simplify right side
    16,380.67x = 115,375,760.82
  5. Step 5: Solve for x
    x = 115,375,760.82/16,380.67
  6. Step 6: Final answer
    x = 7,043.41

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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.