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Finding the Fourth Proportional to 14,911.60, 20,576.67 and 8,861.38

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Solution

The fourth proportional to 14,911.60, 20,576.67 and 8,861.38 is: 12,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.60 : 20,576.67 = 8,861.38 : x
  2. Step 2: Convert to fraction form
    14,911.60/20,576.67 = 8,861.38/x
  3. Step 3: Cross multiply
    14,911.60x = 20,576.67 × 8,861.38
  4. Step 4: Simplify right side
    14,911.60x = 182,337,772.92
  5. Step 5: Solve for x
    x = 182,337,772.92/14,911.60
  6. Step 6: Final answer
    x = 12,227.92

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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.