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Finding the Fourth Proportional to 17,843.24, 24,622.70 and 9,884.99

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Solution

The fourth proportional to 17,843.24, 24,622.70 and 9,884.99 is: 13,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.24 : 24,622.70 = 9,884.99 : x
  2. Step 2: Convert to fraction form
    17,843.24/24,622.70 = 9,884.99/x
  3. Step 3: Cross multiply
    17,843.24x = 24,622.70 × 9,884.99
  4. Step 4: Simplify right side
    17,843.24x = 243,394,970.73
  5. Step 5: Solve for x
    x = 243,394,970.73/17,843.24
  6. Step 6: Final answer
    x = 13,640.74

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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.