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Finding the Fourth Proportional to 20,254.50, 30,380.22 and 7,107.75

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Solution

The fourth proportional to 20,254.50, 30,380.22 and 7,107.75 is: 10,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.50 : 30,380.22 = 7,107.75 : x
  2. Step 2: Convert to fraction form
    20,254.50/30,380.22 = 7,107.75/x
  3. Step 3: Cross multiply
    20,254.50x = 30,380.22 × 7,107.75
  4. Step 4: Simplify right side
    20,254.50x = 215,935,008.71
  5. Step 5: Solve for x
    x = 215,935,008.71/20,254.50
  6. Step 6: Final answer
    x = 10,661.09

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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.