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Finding the Fourth Proportional to 20,668.49, 31,006.73 and 8,822.09

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Solution

The fourth proportional to 20,668.49, 31,006.73 and 8,822.09 is: 13,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.49 : 31,006.73 = 8,822.09 : x
  2. Step 2: Convert to fraction form
    20,668.49/31,006.73 = 8,822.09/x
  3. Step 3: Cross multiply
    20,668.49x = 31,006.73 × 8,822.09
  4. Step 4: Simplify right side
    20,668.49x = 273,544,162.67
  5. Step 5: Solve for x
    x = 273,544,162.67/20,668.49
  6. Step 6: Final answer
    x = 13,234.84

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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.