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Finding the Fourth Proportional to 24,602, 36,903 and 8,186

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Solution

The fourth proportional to 24,602, 36,903 and 8,186 is: 12,279

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602 : 36,903 = 8,186 : x
  2. Step 2: Convert to fraction form
    24,602/36,903 = 8,186/x
  3. Step 3: Cross multiply
    24,602x = 36,903 × 8,186
  4. Step 4: Simplify right side
    24,602x = 302,087,958
  5. Step 5: Solve for x
    x = 302,087,958/24,602
  6. Step 6: Final answer
    x = 12,279

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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.