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Finding the Fourth Proportional to 20,185.54, 30,281.83 and 6,857.14

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Solution

The fourth proportional to 20,185.54, 30,281.83 and 6,857.14 is: 10,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.54 : 30,281.83 = 6,857.14 : x
  2. Step 2: Convert to fraction form
    20,185.54/30,281.83 = 6,857.14/x
  3. Step 3: Cross multiply
    20,185.54x = 30,281.83 × 6,857.14
  4. Step 4: Simplify right side
    20,185.54x = 207,646,747.77
  5. Step 5: Solve for x
    x = 207,646,747.77/20,185.54
  6. Step 6: Final answer
    x = 10,286.91

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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.