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Finding the Fourth Proportional to 20,227.68, 30,343.20 and 6,187.32

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Solution

The fourth proportional to 20,227.68, 30,343.20 and 6,187.32 is: 9,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.68 : 30,343.20 = 6,187.32 : x
  2. Step 2: Convert to fraction form
    20,227.68/30,343.20 = 6,187.32/x
  3. Step 3: Cross multiply
    20,227.68x = 30,343.20 × 6,187.32
  4. Step 4: Simplify right side
    20,227.68x = 187,743,088.22
  5. Step 5: Solve for x
    x = 187,743,088.22/20,227.68
  6. Step 6: Final answer
    x = 9,281.49

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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.