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Finding the Fourth Proportional to 20,286.01, 30,392.67 and 12,384.46

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Solution

The fourth proportional to 20,286.01, 30,392.67 and 12,384.46 is: 18,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.01 : 30,392.67 = 12,384.46 : x
  2. Step 2: Convert to fraction form
    20,286.01/30,392.67 = 12,384.46/x
  3. Step 3: Cross multiply
    20,286.01x = 30,392.67 × 12,384.46
  4. Step 4: Simplify right side
    20,286.01x = 376,396,820.68
  5. Step 5: Solve for x
    x = 376,396,820.68/20,286.01
  6. Step 6: Final answer
    x = 18,554.50

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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.