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Finding the Fourth Proportional to 27,825.86, 41,737.71 and 11,180.90

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Solution

The fourth proportional to 27,825.86, 41,737.71 and 11,180.90 is: 16,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.86 : 41,737.71 = 11,180.90 : x
  2. Step 2: Convert to fraction form
    27,825.86/41,737.71 = 11,180.90/x
  3. Step 3: Cross multiply
    27,825.86x = 41,737.71 × 11,180.90
  4. Step 4: Simplify right side
    27,825.86x = 466,665,161.74
  5. Step 5: Solve for x
    x = 466,665,161.74/27,825.86
  6. Step 6: Final answer
    x = 16,770.92

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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.