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Finding the Fourth Proportional to 27,408.37, 37,823.73 and 16,084.57

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Solution

The fourth proportional to 27,408.37, 37,823.73 and 16,084.57 is: 22,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.37 : 37,823.73 = 16,084.57 : x
  2. Step 2: Convert to fraction form
    27,408.37/37,823.73 = 16,084.57/x
  3. Step 3: Cross multiply
    27,408.37x = 37,823.73 × 16,084.57
  4. Step 4: Simplify right side
    27,408.37x = 608,378,432.85
  5. Step 5: Solve for x
    x = 608,378,432.85/27,408.37
  6. Step 6: Final answer
    x = 22,196.81

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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.