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Finding the Fourth Proportional to 16,199.26, 24,288.49 and 6,836.72

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Solution

The fourth proportional to 16,199.26, 24,288.49 and 6,836.72 is: 10,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.26 : 24,288.49 = 6,836.72 : x
  2. Step 2: Convert to fraction form
    16,199.26/24,288.49 = 6,836.72/x
  3. Step 3: Cross multiply
    16,199.26x = 24,288.49 × 6,836.72
  4. Step 4: Simplify right side
    16,199.26x = 166,053,605.35
  5. Step 5: Solve for x
    x = 166,053,605.35/16,199.26
  6. Step 6: Final answer
    x = 10,250.69

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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.