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Finding the Fourth Proportional to 24,490.73, 36,735.94 and 6,720

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Solution

The fourth proportional to 24,490.73, 36,735.94 and 6,720 is: 10,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,490.73 : 36,735.94 = 6,720 : x
  2. Step 2: Convert to fraction form
    24,490.73/36,735.94 = 6,720/x
  3. Step 3: Cross multiply
    24,490.73x = 36,735.94 × 6,720
  4. Step 4: Simplify right side
    24,490.73x = 246,865,516.80
  5. Step 5: Solve for x
    x = 246,865,516.80/24,490.73
  6. Step 6: Final answer
    x = 10,079.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.