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Finding the Fourth Proportional to 12,104.66, 16,712.26 and 9,871.90

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Solution

The fourth proportional to 12,104.66, 16,712.26 and 9,871.90 is: 13,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.66 : 16,712.26 = 9,871.90 : x
  2. Step 2: Convert to fraction form
    12,104.66/16,712.26 = 9,871.90/x
  3. Step 3: Cross multiply
    12,104.66x = 16,712.26 × 9,871.90
  4. Step 4: Simplify right side
    12,104.66x = 164,981,759.49
  5. Step 5: Solve for x
    x = 164,981,759.49/12,104.66
  6. Step 6: Final answer
    x = 13,629.61

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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.