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Finding the Fourth Proportional to 20,571.43, 30,850.76 and 7,422.09

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Solution

The fourth proportional to 20,571.43, 30,850.76 and 7,422.09 is: 11,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.43 : 30,850.76 = 7,422.09 : x
  2. Step 2: Convert to fraction form
    20,571.43/30,850.76 = 7,422.09/x
  3. Step 3: Cross multiply
    20,571.43x = 30,850.76 × 7,422.09
  4. Step 4: Simplify right side
    20,571.43x = 228,977,117.29
  5. Step 5: Solve for x
    x = 228,977,117.29/20,571.43
  6. Step 6: Final answer
    x = 11,130.83

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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.