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Finding the Fourth Proportional to 20,267.67, 30,380.72 and 7,784.33

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Solution

The fourth proportional to 20,267.67, 30,380.72 and 7,784.33 is: 11,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.67 : 30,380.72 = 7,784.33 : x
  2. Step 2: Convert to fraction form
    20,267.67/30,380.72 = 7,784.33/x
  3. Step 3: Cross multiply
    20,267.67x = 30,380.72 × 7,784.33
  4. Step 4: Simplify right side
    20,267.67x = 236,493,359.29
  5. Step 5: Solve for x
    x = 236,493,359.29/20,267.67
  6. Step 6: Final answer
    x = 11,668.50

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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.