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Finding the Fourth Proportional to 14,500.96, 20,010.72 and 8,213.68

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Solution

The fourth proportional to 14,500.96, 20,010.72 and 8,213.68 is: 11,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.96 : 20,010.72 = 8,213.68 : x
  2. Step 2: Convert to fraction form
    14,500.96/20,010.72 = 8,213.68/x
  3. Step 3: Cross multiply
    14,500.96x = 20,010.72 × 8,213.68
  4. Step 4: Simplify right side
    14,500.96x = 164,361,650.65
  5. Step 5: Solve for x
    x = 164,361,650.65/14,500.96
  6. Step 6: Final answer
    x = 11,334.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.