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Finding the Fourth Proportional to 16,584.30, 24,882.12 and 7,819.83

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Solution

The fourth proportional to 16,584.30, 24,882.12 and 7,819.83 is: 11,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.30 : 24,882.12 = 7,819.83 : x
  2. Step 2: Convert to fraction form
    16,584.30/24,882.12 = 7,819.83/x
  3. Step 3: Cross multiply
    16,584.30x = 24,882.12 × 7,819.83
  4. Step 4: Simplify right side
    16,584.30x = 194,573,948.44
  5. Step 5: Solve for x
    x = 194,573,948.44/16,584.30
  6. Step 6: Final answer
    x = 11,732.42

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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.