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Finding the Fourth Proportional to 20,813.80, 31,221.38 and 7,663.09

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Solution

The fourth proportional to 20,813.80, 31,221.38 and 7,663.09 is: 11,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.80 : 31,221.38 = 7,663.09 : x
  2. Step 2: Convert to fraction form
    20,813.80/31,221.38 = 7,663.09/x
  3. Step 3: Cross multiply
    20,813.80x = 31,221.38 × 7,663.09
  4. Step 4: Simplify right side
    20,813.80x = 239,252,244.86
  5. Step 5: Solve for x
    x = 239,252,244.86/20,813.80
  6. Step 6: Final answer
    x = 11,494.89

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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.