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Finding the Fourth Proportional to 24,791.18, 37,189.19 and 8,144.46

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Solution

The fourth proportional to 24,791.18, 37,189.19 and 8,144.46 is: 12,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.18 : 37,189.19 = 8,144.46 : x
  2. Step 2: Convert to fraction form
    24,791.18/37,189.19 = 8,144.46/x
  3. Step 3: Cross multiply
    24,791.18x = 37,189.19 × 8,144.46
  4. Step 4: Simplify right side
    24,791.18x = 302,885,890.75
  5. Step 5: Solve for x
    x = 302,885,890.75/24,791.18
  6. Step 6: Final answer
    x = 12,217.49

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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.