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Finding the Fourth Proportional to 17,843.17, 24,626.20 and 10,288.02

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Solution

The fourth proportional to 17,843.17, 24,626.20 and 10,288.02 is: 14,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.17 : 24,626.20 = 10,288.02 : x
  2. Step 2: Convert to fraction form
    17,843.17/24,626.20 = 10,288.02/x
  3. Step 3: Cross multiply
    17,843.17x = 24,626.20 × 10,288.02
  4. Step 4: Simplify right side
    17,843.17x = 253,354,786.68
  5. Step 5: Solve for x
    x = 253,354,786.68/17,843.17
  6. Step 6: Final answer
    x = 14,198.98

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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.