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Finding the Fourth Proportional to 13,414.80, 18,502.34 and 8,102.82

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Solution

The fourth proportional to 13,414.80, 18,502.34 and 8,102.82 is: 11,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.80 : 18,502.34 = 8,102.82 : x
  2. Step 2: Convert to fraction form
    13,414.80/18,502.34 = 8,102.82/x
  3. Step 3: Cross multiply
    13,414.80x = 18,502.34 × 8,102.82
  4. Step 4: Simplify right side
    13,414.80x = 149,921,130.60
  5. Step 5: Solve for x
    x = 149,921,130.60/13,414.80
  6. Step 6: Final answer
    x = 11,175.80

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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.