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Finding the Fourth Proportional to 16,236.77, 24,338.39 and 6,238.80

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Solution

The fourth proportional to 16,236.77, 24,338.39 and 6,238.80 is: 9,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.77 : 24,338.39 = 6,238.80 : x
  2. Step 2: Convert to fraction form
    16,236.77/24,338.39 = 6,238.80/x
  3. Step 3: Cross multiply
    16,236.77x = 24,338.39 × 6,238.80
  4. Step 4: Simplify right side
    16,236.77x = 151,842,316.34
  5. Step 5: Solve for x
    x = 151,842,316.34/16,236.77
  6. Step 6: Final answer
    x = 9,351.76

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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.