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Finding the Fourth Proportional to 20,152.80, 30,221.10 and 7,668.54

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Solution

The fourth proportional to 20,152.80, 30,221.10 and 7,668.54 is: 11,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.80 : 30,221.10 = 7,668.54 : x
  2. Step 2: Convert to fraction form
    20,152.80/30,221.10 = 7,668.54/x
  3. Step 3: Cross multiply
    20,152.80x = 30,221.10 × 7,668.54
  4. Step 4: Simplify right side
    20,152.80x = 231,751,714.19
  5. Step 5: Solve for x
    x = 231,751,714.19/20,152.80
  6. Step 6: Final answer
    x = 11,499.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.