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Finding the Fourth Proportional to 20,773.92, 28,668.87 and 11,823

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Solution

The fourth proportional to 20,773.92, 28,668.87 and 11,823 is: 16,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.92 : 28,668.87 = 11,823 : x
  2. Step 2: Convert to fraction form
    20,773.92/28,668.87 = 11,823/x
  3. Step 3: Cross multiply
    20,773.92x = 28,668.87 × 11,823
  4. Step 4: Simplify right side
    20,773.92x = 338,952,050.01
  5. Step 5: Solve for x
    x = 338,952,050.01/20,773.92
  6. Step 6: Final answer
    x = 16,316.23

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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.