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Finding the Fourth Proportional to 16,519.30, 24,765.86 and 8,197.09

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Solution

The fourth proportional to 16,519.30, 24,765.86 and 8,197.09 is: 12,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519.30 : 24,765.86 = 8,197.09 : x
  2. Step 2: Convert to fraction form
    16,519.30/24,765.86 = 8,197.09/x
  3. Step 3: Cross multiply
    16,519.30x = 24,765.86 × 8,197.09
  4. Step 4: Simplify right side
    16,519.30x = 203,007,983.35
  5. Step 5: Solve for x
    x = 203,007,983.35/16,519.30
  6. Step 6: Final answer
    x = 12,289.14

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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.