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Finding the Fourth Proportional to 25,975.35, 38,965.07 and 8,207.38

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Solution

The fourth proportional to 25,975.35, 38,965.07 and 8,207.38 is: 12,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,975.35 : 38,965.07 = 8,207.38 : x
  2. Step 2: Convert to fraction form
    25,975.35/38,965.07 = 8,207.38/x
  3. Step 3: Cross multiply
    25,975.35x = 38,965.07 × 8,207.38
  4. Step 4: Simplify right side
    25,975.35x = 319,800,940.10
  5. Step 5: Solve for x
    x = 319,800,940.10/25,975.35
  6. Step 6: Final answer
    x = 12,311.71

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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.