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Finding the Fourth Proportional to 20,162.14, 30,222.96 and 7,678.96

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Solution

The fourth proportional to 20,162.14, 30,222.96 and 7,678.96 is: 11,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.14 : 30,222.96 = 7,678.96 : x
  2. Step 2: Convert to fraction form
    20,162.14/30,222.96 = 7,678.96/x
  3. Step 3: Cross multiply
    20,162.14x = 30,222.96 × 7,678.96
  4. Step 4: Simplify right side
    20,162.14x = 232,080,900.92
  5. Step 5: Solve for x
    x = 232,080,900.92/20,162.14
  6. Step 6: Final answer
    x = 11,510.73

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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.