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Finding the Fourth Proportional to 27,822.95, 41,745.10 and 16,737.49

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Solution

The fourth proportional to 27,822.95, 41,745.10 and 16,737.49 is: 25,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.95 : 41,745.10 = 16,737.49 : x
  2. Step 2: Convert to fraction form
    27,822.95/41,745.10 = 16,737.49/x
  3. Step 3: Cross multiply
    27,822.95x = 41,745.10 × 16,737.49
  4. Step 4: Simplify right side
    27,822.95x = 698,708,193.80
  5. Step 5: Solve for x
    x = 698,708,193.80/27,822.95
  6. Step 6: Final answer
    x = 25,112.66

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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.