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Finding the Fourth Proportional to 25,367, 38,050.62 and 8,951

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Solution

The fourth proportional to 25,367, 38,050.62 and 8,951 is: 13,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,367 : 38,050.62 = 8,951 : x
  2. Step 2: Convert to fraction form
    25,367/38,050.62 = 8,951/x
  3. Step 3: Cross multiply
    25,367x = 38,050.62 × 8,951
  4. Step 4: Simplify right side
    25,367x = 340,591,099.62
  5. Step 5: Solve for x
    x = 340,591,099.62/25,367
  6. Step 6: Final answer
    x = 13,426.54

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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.