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Finding the Fourth Proportional to 25,847.94, 38,747.31 and 8,305.47

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Solution

The fourth proportional to 25,847.94, 38,747.31 and 8,305.47 is: 12,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,847.94 : 38,747.31 = 8,305.47 : x
  2. Step 2: Convert to fraction form
    25,847.94/38,747.31 = 8,305.47/x
  3. Step 3: Cross multiply
    25,847.94x = 38,747.31 × 8,305.47
  4. Step 4: Simplify right side
    25,847.94x = 321,814,620.79
  5. Step 5: Solve for x
    x = 321,814,620.79/25,847.94
  6. Step 6: Final answer
    x = 12,450.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.