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Finding the Fourth Proportional to 16,230.82, 24,336.75 and 7,900.30

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Solution

The fourth proportional to 16,230.82, 24,336.75 and 7,900.30 is: 11,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.82 : 24,336.75 = 7,900.30 : x
  2. Step 2: Convert to fraction form
    16,230.82/24,336.75 = 7,900.30/x
  3. Step 3: Cross multiply
    16,230.82x = 24,336.75 × 7,900.30
  4. Step 4: Simplify right side
    16,230.82x = 192,267,626.03
  5. Step 5: Solve for x
    x = 192,267,626.03/16,230.82
  6. Step 6: Final answer
    x = 11,845.84

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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.