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Finding the Fourth Proportional to 16,553.34, 24,796.41 and 8,208.30

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Solution

The fourth proportional to 16,553.34, 24,796.41 and 8,208.30 is: 12,295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.34 : 24,796.41 = 8,208.30 : x
  2. Step 2: Convert to fraction form
    16,553.34/24,796.41 = 8,208.30/x
  3. Step 3: Cross multiply
    16,553.34x = 24,796.41 × 8,208.30
  4. Step 4: Simplify right side
    16,553.34x = 203,536,372.20
  5. Step 5: Solve for x
    x = 203,536,372.20/16,553.34
  6. Step 6: Final answer
    x = 12,295.79

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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.