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Finding the Fourth Proportional to 20,668.38, 31,001.76 and 8,817.28

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Solution

The fourth proportional to 20,668.38, 31,001.76 and 8,817.28 is: 13,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.38 : 31,001.76 = 8,817.28 : x
  2. Step 2: Convert to fraction form
    20,668.38/31,001.76 = 8,817.28/x
  3. Step 3: Cross multiply
    20,668.38x = 31,001.76 × 8,817.28
  4. Step 4: Simplify right side
    20,668.38x = 273,351,198.41
  5. Step 5: Solve for x
    x = 273,351,198.41/20,668.38
  6. Step 6: Final answer
    x = 13,225.57

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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.