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Finding the Fourth Proportional to 16,512.76, 22,806.30 and 11,198.38

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Solution

The fourth proportional to 16,512.76, 22,806.30 and 11,198.38 is: 15,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.76 : 22,806.30 = 11,198.38 : x
  2. Step 2: Convert to fraction form
    16,512.76/22,806.30 = 11,198.38/x
  3. Step 3: Cross multiply
    16,512.76x = 22,806.30 × 11,198.38
  4. Step 4: Simplify right side
    16,512.76x = 255,393,613.79
  5. Step 5: Solve for x
    x = 255,393,613.79/16,512.76
  6. Step 6: Final answer
    x = 15,466.44

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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.