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Finding the Fourth Proportional to 20,427.60, 30,642.30 and 11,542.80

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Solution

The fourth proportional to 20,427.60, 30,642.30 and 11,542.80 is: 17,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427.60 : 30,642.30 = 11,542.80 : x
  2. Step 2: Convert to fraction form
    20,427.60/30,642.30 = 11,542.80/x
  3. Step 3: Cross multiply
    20,427.60x = 30,642.30 × 11,542.80
  4. Step 4: Simplify right side
    20,427.60x = 353,697,940.44
  5. Step 5: Solve for x
    x = 353,697,940.44/20,427.60
  6. Step 6: Final answer
    x = 17,314.71

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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.