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Finding the Fourth Proportional to 20,121.77, 30,192.89 and 8,284.65

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Solution

The fourth proportional to 20,121.77, 30,192.89 and 8,284.65 is: 12,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.77 : 30,192.89 = 8,284.65 : x
  2. Step 2: Convert to fraction form
    20,121.77/30,192.89 = 8,284.65/x
  3. Step 3: Cross multiply
    20,121.77x = 30,192.89 × 8,284.65
  4. Step 4: Simplify right side
    20,121.77x = 250,137,526.14
  5. Step 5: Solve for x
    x = 250,137,526.14/20,121.77
  6. Step 6: Final answer
    x = 12,431.19

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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.