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Finding the Fourth Proportional to 24,822.44, 34,254.97 and 13,644.44

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Solution

The fourth proportional to 24,822.44, 34,254.97 and 13,644.44 is: 18,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.44 : 34,254.97 = 13,644.44 : x
  2. Step 2: Convert to fraction form
    24,822.44/34,254.97 = 13,644.44/x
  3. Step 3: Cross multiply
    24,822.44x = 34,254.97 × 13,644.44
  4. Step 4: Simplify right side
    24,822.44x = 467,389,814.64
  5. Step 5: Solve for x
    x = 467,389,814.64/24,822.44
  6. Step 6: Final answer
    x = 18,829.33

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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.