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Finding the Fourth Proportional to 16,338.94, 24,494.57 and 7,451.09

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Solution

The fourth proportional to 16,338.94, 24,494.57 and 7,451.09 is: 11,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.94 : 24,494.57 = 7,451.09 : x
  2. Step 2: Convert to fraction form
    16,338.94/24,494.57 = 7,451.09/x
  3. Step 3: Cross multiply
    16,338.94x = 24,494.57 × 7,451.09
  4. Step 4: Simplify right side
    16,338.94x = 182,511,298.87
  5. Step 5: Solve for x
    x = 182,511,298.87/16,338.94
  6. Step 6: Final answer
    x = 11,170.33

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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.