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Finding the Fourth Proportional to 24,652.49, 36,974.34 and 8,010.09

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Solution

The fourth proportional to 24,652.49, 36,974.34 and 8,010.09 is: 12,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.49 : 36,974.34 = 8,010.09 : x
  2. Step 2: Convert to fraction form
    24,652.49/36,974.34 = 8,010.09/x
  3. Step 3: Cross multiply
    24,652.49x = 36,974.34 × 8,010.09
  4. Step 4: Simplify right side
    24,652.49x = 296,167,791.09
  5. Step 5: Solve for x
    x = 296,167,791.09/24,652.49
  6. Step 6: Final answer
    x = 12,013.71

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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.