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Finding the Fourth Proportional to 21,151.49, 31,727.46 and 8,668.31

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Solution

The fourth proportional to 21,151.49, 31,727.46 and 8,668.31 is: 13,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.49 : 31,727.46 = 8,668.31 : x
  2. Step 2: Convert to fraction form
    21,151.49/31,727.46 = 8,668.31/x
  3. Step 3: Cross multiply
    21,151.49x = 31,727.46 × 8,668.31
  4. Step 4: Simplify right side
    21,151.49x = 275,023,458.79
  5. Step 5: Solve for x
    x = 275,023,458.79/21,151.49
  6. Step 6: Final answer
    x = 13,002.56

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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.