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Finding the Fourth Proportional to 20,241.32, 30,360.78 and 7,760.84

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Solution

The fourth proportional to 20,241.32, 30,360.78 and 7,760.84 is: 11,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.32 : 30,360.78 = 7,760.84 : x
  2. Step 2: Convert to fraction form
    20,241.32/30,360.78 = 7,760.84/x
  3. Step 3: Cross multiply
    20,241.32x = 30,360.78 × 7,760.84
  4. Step 4: Simplify right side
    20,241.32x = 235,625,004.05
  5. Step 5: Solve for x
    x = 235,625,004.05/20,241.32
  6. Step 6: Final answer
    x = 11,640.80

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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.