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Finding the Fourth Proportional to 20,207.28, 30,310.98 and 7,059.65

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Solution

The fourth proportional to 20,207.28, 30,310.98 and 7,059.65 is: 10,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.28 : 30,310.98 = 7,059.65 : x
  2. Step 2: Convert to fraction form
    20,207.28/30,310.98 = 7,059.65/x
  3. Step 3: Cross multiply
    20,207.28x = 30,310.98 × 7,059.65
  4. Step 4: Simplify right side
    20,207.28x = 213,984,883.48
  5. Step 5: Solve for x
    x = 213,984,883.48/20,207.28
  6. Step 6: Final answer
    x = 10,589.50

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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.