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Finding the Fourth Proportional to 20,236.92, 30,355.38 and 6,387

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Solution

The fourth proportional to 20,236.92, 30,355.38 and 6,387 is: 9,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.92 : 30,355.38 = 6,387 : x
  2. Step 2: Convert to fraction form
    20,236.92/30,355.38 = 6,387/x
  3. Step 3: Cross multiply
    20,236.92x = 30,355.38 × 6,387
  4. Step 4: Simplify right side
    20,236.92x = 193,879,812.06
  5. Step 5: Solve for x
    x = 193,879,812.06/20,236.92
  6. Step 6: Final answer
    x = 9,580.50

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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.