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Finding the Fourth Proportional to 24,255.49, 36,383.21 and 7,616.82

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Solution

The fourth proportional to 24,255.49, 36,383.21 and 7,616.82 is: 11,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255.49 : 36,383.21 = 7,616.82 : x
  2. Step 2: Convert to fraction form
    24,255.49/36,383.21 = 7,616.82/x
  3. Step 3: Cross multiply
    24,255.49x = 36,383.21 × 7,616.82
  4. Step 4: Simplify right side
    24,255.49x = 277,124,361.59
  5. Step 5: Solve for x
    x = 277,124,361.59/24,255.49
  6. Step 6: Final answer
    x = 11,425.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.