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Finding the Fourth Proportional to 20,984.50, 31,481.07 and 8,672.50

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Solution

The fourth proportional to 20,984.50, 31,481.07 and 8,672.50 is: 13,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.50 : 31,481.07 = 8,672.50 : x
  2. Step 2: Convert to fraction form
    20,984.50/31,481.07 = 8,672.50/x
  3. Step 3: Cross multiply
    20,984.50x = 31,481.07 × 8,672.50
  4. Step 4: Simplify right side
    20,984.50x = 273,019,579.58
  5. Step 5: Solve for x
    x = 273,019,579.58/20,984.50
  6. Step 6: Final answer
    x = 13,010.54

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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.