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Finding the Fourth Proportional to 16,649.39, 24,974.10 and 12,211.83

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Solution

The fourth proportional to 16,649.39, 24,974.10 and 12,211.83 is: 18,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.39 : 24,974.10 = 12,211.83 : x
  2. Step 2: Convert to fraction form
    16,649.39/24,974.10 = 12,211.83/x
  3. Step 3: Cross multiply
    16,649.39x = 24,974.10 × 12,211.83
  4. Step 4: Simplify right side
    16,649.39x = 304,979,463.60
  5. Step 5: Solve for x
    x = 304,979,463.60/16,649.39
  6. Step 6: Final answer
    x = 18,317.76

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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.