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Finding the Fourth Proportional to 13,414.52, 18,514.80 and 8,938.46

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Solution

The fourth proportional to 13,414.52, 18,514.80 and 8,938.46 is: 12,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.52 : 18,514.80 = 8,938.46 : x
  2. Step 2: Convert to fraction form
    13,414.52/18,514.80 = 8,938.46/x
  3. Step 3: Cross multiply
    13,414.52x = 18,514.80 × 8,938.46
  4. Step 4: Simplify right side
    13,414.52x = 165,493,799.21
  5. Step 5: Solve for x
    x = 165,493,799.21/13,414.52
  6. Step 6: Final answer
    x = 12,336.92

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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.