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Finding the Fourth Proportional to 21,635.97, 29,857.59 and 12,204.47

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Solution

The fourth proportional to 21,635.97, 29,857.59 and 12,204.47 is: 16,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635.97 : 29,857.59 = 12,204.47 : x
  2. Step 2: Convert to fraction form
    21,635.97/29,857.59 = 12,204.47/x
  3. Step 3: Cross multiply
    21,635.97x = 29,857.59 × 12,204.47
  4. Step 4: Simplify right side
    21,635.97x = 364,395,912.14
  5. Step 5: Solve for x
    x = 364,395,912.14/21,635.97
  6. Step 6: Final answer
    x = 16,842.13

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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.