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Finding the Fourth Proportional to 12,251.46, 18,360.69 and 6,696.46

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Solution

The fourth proportional to 12,251.46, 18,360.69 and 6,696.46 is: 10,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.46 : 18,360.69 = 6,696.46 : x
  2. Step 2: Convert to fraction form
    12,251.46/18,360.69 = 6,696.46/x
  3. Step 3: Cross multiply
    12,251.46x = 18,360.69 × 6,696.46
  4. Step 4: Simplify right side
    12,251.46x = 122,951,626.16
  5. Step 5: Solve for x
    x = 122,951,626.16/12,251.46
  6. Step 6: Final answer
    x = 10,035.67

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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.