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Finding the Fourth Proportional to 25,893.14, 38,839.44 and 8,362.58

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Solution

The fourth proportional to 25,893.14, 38,839.44 and 8,362.58 is: 12,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.14 : 38,839.44 = 8,362.58 : x
  2. Step 2: Convert to fraction form
    25,893.14/38,839.44 = 8,362.58/x
  3. Step 3: Cross multiply
    25,893.14x = 38,839.44 × 8,362.58
  4. Step 4: Simplify right side
    25,893.14x = 324,797,924.16
  5. Step 5: Solve for x
    x = 324,797,924.16/25,893.14
  6. Step 6: Final answer
    x = 12,543.78

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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.