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Finding the Fourth Proportional to 16,198.20, 24,300.59 and 6,838.24

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Solution

The fourth proportional to 16,198.20, 24,300.59 and 6,838.24 is: 10,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.20 : 24,300.59 = 6,838.24 : x
  2. Step 2: Convert to fraction form
    16,198.20/24,300.59 = 6,838.24/x
  3. Step 3: Cross multiply
    16,198.20x = 24,300.59 × 6,838.24
  4. Step 4: Simplify right side
    16,198.20x = 166,173,266.56
  5. Step 5: Solve for x
    x = 166,173,266.56/16,198.20
  6. Step 6: Final answer
    x = 10,258.75

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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.