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Finding the Fourth Proportional to 21,644.64, 29,864.43 and 12,213.23

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Solution

The fourth proportional to 21,644.64, 29,864.43 and 12,213.23 is: 16,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.64 : 29,864.43 = 12,213.23 : x
  2. Step 2: Convert to fraction form
    21,644.64/29,864.43 = 12,213.23/x
  3. Step 3: Cross multiply
    21,644.64x = 29,864.43 × 12,213.23
  4. Step 4: Simplify right side
    21,644.64x = 364,741,003.09
  5. Step 5: Solve for x
    x = 364,741,003.09/21,644.64
  6. Step 6: Final answer
    x = 16,851.33

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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.