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Finding the Fourth Proportional to 12,093.14, 18,146.72 and 5,072.53

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Solution

The fourth proportional to 12,093.14, 18,146.72 and 5,072.53 is: 7,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.14 : 18,146.72 = 5,072.53 : x
  2. Step 2: Convert to fraction form
    12,093.14/18,146.72 = 5,072.53/x
  3. Step 3: Cross multiply
    12,093.14x = 18,146.72 × 5,072.53
  4. Step 4: Simplify right side
    12,093.14x = 92,049,710.87
  5. Step 5: Solve for x
    x = 92,049,710.87/12,093.14
  6. Step 6: Final answer
    x = 7,611.73

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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.