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Finding the Fourth Proportional to 20,324.84, 30,490.20 and 6,286.03

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Solution

The fourth proportional to 20,324.84, 30,490.20 and 6,286.03 is: 9,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.84 : 30,490.20 = 6,286.03 : x
  2. Step 2: Convert to fraction form
    20,324.84/30,490.20 = 6,286.03/x
  3. Step 3: Cross multiply
    20,324.84x = 30,490.20 × 6,286.03
  4. Step 4: Simplify right side
    20,324.84x = 191,662,235.68
  5. Step 5: Solve for x
    x = 191,662,235.68/20,324.84
  6. Step 6: Final answer
    x = 9,429.95

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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.