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Finding the Fourth Proportional to 20,496.24, 30,737.88 and 6,642

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Solution

The fourth proportional to 20,496.24, 30,737.88 and 6,642 is: 9,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.24 : 30,737.88 = 6,642 : x
  2. Step 2: Convert to fraction form
    20,496.24/30,737.88 = 6,642/x
  3. Step 3: Cross multiply
    20,496.24x = 30,737.88 × 6,642
  4. Step 4: Simplify right side
    20,496.24x = 204,160,998.96
  5. Step 5: Solve for x
    x = 204,160,998.96/20,496.24
  6. Step 6: Final answer
    x = 9,960.90

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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.