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Finding the Fourth Proportional to 20,996.34, 31,495.74 and 7,847.61

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Solution

The fourth proportional to 20,996.34, 31,495.74 and 7,847.61 is: 11,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.34 : 31,495.74 = 7,847.61 : x
  2. Step 2: Convert to fraction form
    20,996.34/31,495.74 = 7,847.61/x
  3. Step 3: Cross multiply
    20,996.34x = 31,495.74 × 7,847.61
  4. Step 4: Simplify right side
    20,996.34x = 247,166,284.18
  5. Step 5: Solve for x
    x = 247,166,284.18/20,996.34
  6. Step 6: Final answer
    x = 11,771.87

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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.