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Finding the Fourth Proportional to 20,835.88, 31,253.82 and 9,149.20

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Solution

The fourth proportional to 20,835.88, 31,253.82 and 9,149.20 is: 13,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.88 : 31,253.82 = 9,149.20 : x
  2. Step 2: Convert to fraction form
    20,835.88/31,253.82 = 9,149.20/x
  3. Step 3: Cross multiply
    20,835.88x = 31,253.82 × 9,149.20
  4. Step 4: Simplify right side
    20,835.88x = 285,947,449.94
  5. Step 5: Solve for x
    x = 285,947,449.94/20,835.88
  6. Step 6: Final answer
    x = 13,723.80

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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.