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Finding the Fourth Proportional to 21,857.09, 30,161.90 and 12,297.17

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Solution

The fourth proportional to 21,857.09, 30,161.90 and 12,297.17 is: 16,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.09 : 30,161.90 = 12,297.17 : x
  2. Step 2: Convert to fraction form
    21,857.09/30,161.90 = 12,297.17/x
  3. Step 3: Cross multiply
    21,857.09x = 30,161.90 × 12,297.17
  4. Step 4: Simplify right side
    21,857.09x = 370,906,117.97
  5. Step 5: Solve for x
    x = 370,906,117.97/21,857.09
  6. Step 6: Final answer
    x = 16,969.61

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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.