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Finding the Fourth Proportional to 13,414.70, 18,514.01 and 8,109.52

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Solution

The fourth proportional to 13,414.70, 18,514.01 and 8,109.52 is: 11,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.70 : 18,514.01 = 8,109.52 : x
  2. Step 2: Convert to fraction form
    13,414.70/18,514.01 = 8,109.52/x
  3. Step 3: Cross multiply
    13,414.70x = 18,514.01 × 8,109.52
  4. Step 4: Simplify right side
    13,414.70x = 150,139,708.36
  5. Step 5: Solve for x
    x = 150,139,708.36/13,414.70
  6. Step 6: Final answer
    x = 11,192.18

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