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Finding the Fourth Proportional to 17,829.87, 24,605.42 and 9,872.24

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Solution

The fourth proportional to 17,829.87, 24,605.42 and 9,872.24 is: 13,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.87 : 24,605.42 = 9,872.24 : x
  2. Step 2: Convert to fraction form
    17,829.87/24,605.42 = 9,872.24/x
  3. Step 3: Cross multiply
    17,829.87x = 24,605.42 × 9,872.24
  4. Step 4: Simplify right side
    17,829.87x = 242,910,439.15
  5. Step 5: Solve for x
    x = 242,910,439.15/17,829.87
  6. Step 6: Final answer
    x = 13,623.79

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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.