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Finding the Fourth Proportional to 21,010.86, 31,517.10 and 7,861.86

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Solution

The fourth proportional to 21,010.86, 31,517.10 and 7,861.86 is: 11,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010.86 : 31,517.10 = 7,861.86 : x
  2. Step 2: Convert to fraction form
    21,010.86/31,517.10 = 7,861.86/x
  3. Step 3: Cross multiply
    21,010.86x = 31,517.10 × 7,861.86
  4. Step 4: Simplify right side
    21,010.86x = 247,783,027.81
  5. Step 5: Solve for x
    x = 247,783,027.81/21,010.86
  6. Step 6: Final answer
    x = 11,793.09

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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.