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Finding the Fourth Proportional to 20,515.67, 30,777.15 and 7,189.55

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Solution

The fourth proportional to 20,515.67, 30,777.15 and 7,189.55 is: 10,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,515.67 : 30,777.15 = 7,189.55 : x
  2. Step 2: Convert to fraction form
    20,515.67/30,777.15 = 7,189.55/x
  3. Step 3: Cross multiply
    20,515.67x = 30,777.15 × 7,189.55
  4. Step 4: Simplify right side
    20,515.67x = 221,273,858.78
  5. Step 5: Solve for x
    x = 221,273,858.78/20,515.67
  6. Step 6: Final answer
    x = 10,785.60

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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.