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Finding the Fourth Proportional to 20,668.86, 28,524.78 and 11,718

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Solution

The fourth proportional to 20,668.86, 28,524.78 and 11,718 is: 16,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.86 : 28,524.78 = 11,718 : x
  2. Step 2: Convert to fraction form
    20,668.86/28,524.78 = 11,718/x
  3. Step 3: Cross multiply
    20,668.86x = 28,524.78 × 11,718
  4. Step 4: Simplify right side
    20,668.86x = 334,253,372.04
  5. Step 5: Solve for x
    x = 334,253,372.04/20,668.86
  6. Step 6: Final answer
    x = 16,171.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.