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Finding the Fourth Proportional to 16,563.72, 24,849 and 11,285.76

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Solution

The fourth proportional to 16,563.72, 24,849 and 11,285.76 is: 16,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.72 : 24,849 = 11,285.76 : x
  2. Step 2: Convert to fraction form
    16,563.72/24,849 = 11,285.76/x
  3. Step 3: Cross multiply
    16,563.72x = 24,849 × 11,285.76
  4. Step 4: Simplify right side
    16,563.72x = 280,439,850.24
  5. Step 5: Solve for x
    x = 280,439,850.24/16,563.72
  6. Step 6: Final answer
    x = 16,930.97

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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.