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Finding the Fourth Proportional to 20,198.88, 30,304.50 and 10,345.14

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Solution

The fourth proportional to 20,198.88, 30,304.50 and 10,345.14 is: 15,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.88 : 30,304.50 = 10,345.14 : x
  2. Step 2: Convert to fraction form
    20,198.88/30,304.50 = 10,345.14/x
  3. Step 3: Cross multiply
    20,198.88x = 30,304.50 × 10,345.14
  4. Step 4: Simplify right side
    20,198.88x = 313,504,295.13
  5. Step 5: Solve for x
    x = 313,504,295.13/20,198.88
  6. Step 6: Final answer
    x = 15,520.88

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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.