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Finding the Fourth Proportional to 20,766.92, 31,142.94 and 7,616.36

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Solution

The fourth proportional to 20,766.92, 31,142.94 and 7,616.36 is: 11,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766.92 : 31,142.94 = 7,616.36 : x
  2. Step 2: Convert to fraction form
    20,766.92/31,142.94 = 7,616.36/x
  3. Step 3: Cross multiply
    20,766.92x = 31,142.94 × 7,616.36
  4. Step 4: Simplify right side
    20,766.92x = 237,195,842.50
  5. Step 5: Solve for x
    x = 237,195,842.50/20,766.92
  6. Step 6: Final answer
    x = 11,421.81

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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.