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Finding the Fourth Proportional to 20,850.40, 31,197.84 and 20,617.12

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Solution

The fourth proportional to 20,850.40, 31,197.84 and 20,617.12 is: 30,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.40 : 31,197.84 = 20,617.12 : x
  2. Step 2: Convert to fraction form
    20,850.40/31,197.84 = 20,617.12/x
  3. Step 3: Cross multiply
    20,850.40x = 31,197.84 × 20,617.12
  4. Step 4: Simplify right side
    20,850.40x = 643,209,611.02
  5. Step 5: Solve for x
    x = 643,209,611.02/20,850.40
  6. Step 6: Final answer
    x = 30,848.79

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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.