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Finding the Fourth Proportional to 25,996.56, 38,999.64 and 8,231.70

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Solution

The fourth proportional to 25,996.56, 38,999.64 and 8,231.70 is: 12,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,996.56 : 38,999.64 = 8,231.70 : x
  2. Step 2: Convert to fraction form
    25,996.56/38,999.64 = 8,231.70/x
  3. Step 3: Cross multiply
    25,996.56x = 38,999.64 × 8,231.70
  4. Step 4: Simplify right side
    25,996.56x = 321,033,336.59
  5. Step 5: Solve for x
    x = 321,033,336.59/25,996.56
  6. Step 6: Final answer
    x = 12,349.07

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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.