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Finding the Fourth Proportional to 13,414.08, 18,508.14 and 8,037.39

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Solution

The fourth proportional to 13,414.08, 18,508.14 and 8,037.39 is: 11,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.08 : 18,508.14 = 8,037.39 : x
  2. Step 2: Convert to fraction form
    13,414.08/18,508.14 = 8,037.39/x
  3. Step 3: Cross multiply
    13,414.08x = 18,508.14 × 8,037.39
  4. Step 4: Simplify right side
    13,414.08x = 148,757,139.35
  5. Step 5: Solve for x
    x = 148,757,139.35/13,414.08
  6. Step 6: Final answer
    x = 11,089.63

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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.