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Finding the Fourth Proportional to 24,822.80, 34,255.08 and 13,644.56

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Solution

The fourth proportional to 24,822.80, 34,255.08 and 13,644.56 is: 18,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.80 : 34,255.08 = 13,644.56 : x
  2. Step 2: Convert to fraction form
    24,822.80/34,255.08 = 13,644.56/x
  3. Step 3: Cross multiply
    24,822.80x = 34,255.08 × 13,644.56
  4. Step 4: Simplify right side
    24,822.80x = 467,395,494.36
  5. Step 5: Solve for x
    x = 467,395,494.36/24,822.80
  6. Step 6: Final answer
    x = 18,829.28

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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.