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Finding the Fourth Proportional to 12,023.46, 18,035.49 and 5,696.85

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Solution

The fourth proportional to 12,023.46, 18,035.49 and 5,696.85 is: 8,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.46 : 18,035.49 = 5,696.85 : x
  2. Step 2: Convert to fraction form
    12,023.46/18,035.49 = 5,696.85/x
  3. Step 3: Cross multiply
    12,023.46x = 18,035.49 × 5,696.85
  4. Step 4: Simplify right side
    12,023.46x = 102,745,452.72
  5. Step 5: Solve for x
    x = 102,745,452.72/12,023.46
  6. Step 6: Final answer
    x = 8,545.42

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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.