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Finding the Fourth Proportional to 20,141.60, 30,212.40 and 11,825.60

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Solution

The fourth proportional to 20,141.60, 30,212.40 and 11,825.60 is: 17,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.60 : 30,212.40 = 11,825.60 : x
  2. Step 2: Convert to fraction form
    20,141.60/30,212.40 = 11,825.60/x
  3. Step 3: Cross multiply
    20,141.60x = 30,212.40 × 11,825.60
  4. Step 4: Simplify right side
    20,141.60x = 357,279,757.44
  5. Step 5: Solve for x
    x = 357,279,757.44/20,141.60
  6. Step 6: Final answer
    x = 17,738.40

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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.