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Finding the Fourth Proportional to 17,827.20, 24,601.83 and 9,760.73

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Solution

The fourth proportional to 17,827.20, 24,601.83 and 9,760.73 is: 13,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.20 : 24,601.83 = 9,760.73 : x
  2. Step 2: Convert to fraction form
    17,827.20/24,601.83 = 9,760.73/x
  3. Step 3: Cross multiply
    17,827.20x = 24,601.83 × 9,760.73
  4. Step 4: Simplify right side
    17,827.20x = 240,131,697.13
  5. Step 5: Solve for x
    x = 240,131,697.13/17,827.20
  6. Step 6: Final answer
    x = 13,469.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.