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Finding the Fourth Proportional to 16,800.25, 25,150.25 and 10,206.44

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Solution

The fourth proportional to 16,800.25, 25,150.25 and 10,206.44 is: 15,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.25 : 25,150.25 = 10,206.44 : x
  2. Step 2: Convert to fraction form
    16,800.25/25,150.25 = 10,206.44/x
  3. Step 3: Cross multiply
    16,800.25x = 25,150.25 × 10,206.44
  4. Step 4: Simplify right side
    16,800.25x = 256,694,517.61
  5. Step 5: Solve for x
    x = 256,694,517.61/16,800.25
  6. Step 6: Final answer
    x = 15,279.21

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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.