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Finding the Fourth Proportional to 27,824.37, 41,737.79 and 9,105.49

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Solution

The fourth proportional to 27,824.37, 41,737.79 and 9,105.49 is: 13,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.37 : 41,737.79 = 9,105.49 : x
  2. Step 2: Convert to fraction form
    27,824.37/41,737.79 = 9,105.49/x
  3. Step 3: Cross multiply
    27,824.37x = 41,737.79 × 9,105.49
  4. Step 4: Simplify right side
    27,824.37x = 380,043,029.47
  5. Step 5: Solve for x
    x = 380,043,029.47/27,824.37
  6. Step 6: Final answer
    x = 13,658.64

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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.