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Finding the Fourth Proportional to 16,520.38, 24,738.24 and 9,116.62

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Solution

The fourth proportional to 16,520.38, 24,738.24 and 9,116.62 is: 13,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.38 : 24,738.24 = 9,116.62 : x
  2. Step 2: Convert to fraction form
    16,520.38/24,738.24 = 9,116.62/x
  3. Step 3: Cross multiply
    16,520.38x = 24,738.24 × 9,116.62
  4. Step 4: Simplify right side
    16,520.38x = 225,529,133.55
  5. Step 5: Solve for x
    x = 225,529,133.55/16,520.38
  6. Step 6: Final answer
    x = 13,651.57

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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.