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Finding the Fourth Proportional to 20,935.20, 31,408.78 and 8,448.78

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Solution

The fourth proportional to 20,935.20, 31,408.78 and 8,448.78 is: 12,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,935.20 : 31,408.78 = 8,448.78 : x
  2. Step 2: Convert to fraction form
    20,935.20/31,408.78 = 8,448.78/x
  3. Step 3: Cross multiply
    20,935.20x = 31,408.78 × 8,448.78
  4. Step 4: Simplify right side
    20,935.20x = 265,365,872.29
  5. Step 5: Solve for x
    x = 265,365,872.29/20,935.20
  6. Step 6: Final answer
    x = 12,675.58

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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.