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Finding the Fourth Proportional to 20,996.54, 31,494.26 and 8,513.22

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Solution

The fourth proportional to 20,996.54, 31,494.26 and 8,513.22 is: 12,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.54 : 31,494.26 = 8,513.22 : x
  2. Step 2: Convert to fraction form
    20,996.54/31,494.26 = 8,513.22/x
  3. Step 3: Cross multiply
    20,996.54x = 31,494.26 × 8,513.22
  4. Step 4: Simplify right side
    20,996.54x = 268,117,564.12
  5. Step 5: Solve for x
    x = 268,117,564.12/20,996.54
  6. Step 6: Final answer
    x = 12,769.61

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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.