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Finding the Fourth Proportional to 15,147.56, 20,906.74 and 8,861.48

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Solution

The fourth proportional to 15,147.56, 20,906.74 and 8,861.48 is: 12,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.56 : 20,906.74 = 8,861.48 : x
  2. Step 2: Convert to fraction form
    15,147.56/20,906.74 = 8,861.48/x
  3. Step 3: Cross multiply
    15,147.56x = 20,906.74 × 8,861.48
  4. Step 4: Simplify right side
    15,147.56x = 185,264,658.38
  5. Step 5: Solve for x
    x = 185,264,658.38/15,147.56
  6. Step 6: Final answer
    x = 12,230.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.