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Finding the Fourth Proportional to 20,224.14, 30,334.80 and 8,536.26

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Solution

The fourth proportional to 20,224.14, 30,334.80 and 8,536.26 is: 12,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.14 : 30,334.80 = 8,536.26 : x
  2. Step 2: Convert to fraction form
    20,224.14/30,334.80 = 8,536.26/x
  3. Step 3: Cross multiply
    20,224.14x = 30,334.80 × 8,536.26
  4. Step 4: Simplify right side
    20,224.14x = 258,945,739.85
  5. Step 5: Solve for x
    x = 258,945,739.85/20,224.14
  6. Step 6: Final answer
    x = 12,803.79

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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.