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Finding the Fourth Proportional to 16,738.75, 23,099.48 and 9,286.75

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Solution

The fourth proportional to 16,738.75, 23,099.48 and 9,286.75 is: 12,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.75 : 23,099.48 = 9,286.75 : x
  2. Step 2: Convert to fraction form
    16,738.75/23,099.48 = 9,286.75/x
  3. Step 3: Cross multiply
    16,738.75x = 23,099.48 × 9,286.75
  4. Step 4: Simplify right side
    16,738.75x = 214,519,095.89
  5. Step 5: Solve for x
    x = 214,519,095.89/16,738.75
  6. Step 6: Final answer
    x = 12,815.72

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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.