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Finding the Fourth Proportional to 20,393.96, 30,570.26 and 13,820.80

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Solution

The fourth proportional to 20,393.96, 30,570.26 and 13,820.80 is: 20,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.96 : 30,570.26 = 13,820.80 : x
  2. Step 2: Convert to fraction form
    20,393.96/30,570.26 = 13,820.80/x
  3. Step 3: Cross multiply
    20,393.96x = 30,570.26 × 13,820.80
  4. Step 4: Simplify right side
    20,393.96x = 422,505,449.41
  5. Step 5: Solve for x
    x = 422,505,449.41/20,393.96
  6. Step 6: Final answer
    x = 20,717.19

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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.