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Finding the Fourth Proportional to 36,010.85, 54,024.26 and 13,824.23

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Solution

The fourth proportional to 36,010.85, 54,024.26 and 13,824.23 is: 20,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,010.85 : 54,024.26 = 13,824.23 : x
  2. Step 2: Convert to fraction form
    36,010.85/54,024.26 = 13,824.23/x
  3. Step 3: Cross multiply
    36,010.85x = 54,024.26 × 13,824.23
  4. Step 4: Simplify right side
    36,010.85x = 746,843,456.58
  5. Step 5: Solve for x
    x = 746,843,456.58/36,010.85
  6. Step 6: Final answer
    x = 20,739.40

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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.