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Finding the Fourth Proportional to 16,433.72, 24,640.71 and 6,426.55

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Solution

The fourth proportional to 16,433.72, 24,640.71 and 6,426.55 is: 9,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.72 : 24,640.71 = 6,426.55 : x
  2. Step 2: Convert to fraction form
    16,433.72/24,640.71 = 6,426.55/x
  3. Step 3: Cross multiply
    16,433.72x = 24,640.71 × 6,426.55
  4. Step 4: Simplify right side
    16,433.72x = 158,354,754.85
  5. Step 5: Solve for x
    x = 158,354,754.85/16,433.72
  6. Step 6: Final answer
    x = 9,635.97

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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.