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Finding the Fourth Proportional to 25,944.12, 38,902.26 and 8,171.46

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Solution

The fourth proportional to 25,944.12, 38,902.26 and 8,171.46 is: 12,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,944.12 : 38,902.26 = 8,171.46 : x
  2. Step 2: Convert to fraction form
    25,944.12/38,902.26 = 8,171.46/x
  3. Step 3: Cross multiply
    25,944.12x = 38,902.26 × 8,171.46
  4. Step 4: Simplify right side
    25,944.12x = 317,888,261.50
  5. Step 5: Solve for x
    x = 317,888,261.50/25,944.12
  6. Step 6: Final answer
    x = 12,252.81

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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.