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Finding the Fourth Proportional to 18,150.76, 27,245.22 and 16,084

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Solution

The fourth proportional to 18,150.76, 27,245.22 and 16,084 is: 24,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,150.76 : 27,245.22 = 16,084 : x
  2. Step 2: Convert to fraction form
    18,150.76/27,245.22 = 16,084/x
  3. Step 3: Cross multiply
    18,150.76x = 27,245.22 × 16,084
  4. Step 4: Simplify right side
    18,150.76x = 438,212,118.48
  5. Step 5: Solve for x
    x = 438,212,118.48/18,150.76
  6. Step 6: Final answer
    x = 24,142.91

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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.