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Finding the Fourth Proportional to 16,738.25, 25,098.26 and 10,814.31

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Solution

The fourth proportional to 16,738.25, 25,098.26 and 10,814.31 is: 16,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.25 : 25,098.26 = 10,814.31 : x
  2. Step 2: Convert to fraction form
    16,738.25/25,098.26 = 10,814.31/x
  3. Step 3: Cross multiply
    16,738.25x = 25,098.26 × 10,814.31
  4. Step 4: Simplify right side
    16,738.25x = 271,420,310.03
  5. Step 5: Solve for x
    x = 271,420,310.03/16,738.25
  6. Step 6: Final answer
    x = 16,215.58

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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.