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Finding the Fourth Proportional to 20,367, 30,522.76 and 10,485.41

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Solution

The fourth proportional to 20,367, 30,522.76 and 10,485.41 is: 15,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,367 : 30,522.76 = 10,485.41 : x
  2. Step 2: Convert to fraction form
    20,367/30,522.76 = 10,485.41/x
  3. Step 3: Cross multiply
    20,367x = 30,522.76 × 10,485.41
  4. Step 4: Simplify right side
    20,367x = 320,043,474.10
  5. Step 5: Solve for x
    x = 320,043,474.10/20,367
  6. Step 6: Final answer
    x = 15,713.83

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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.