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Finding the Fourth Proportional to 12,154.57, 18,231.85 and 3,946.57

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Solution

The fourth proportional to 12,154.57, 18,231.85 and 3,946.57 is: 5,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.57 : 18,231.85 = 3,946.57 : x
  2. Step 2: Convert to fraction form
    12,154.57/18,231.85 = 3,946.57/x
  3. Step 3: Cross multiply
    12,154.57x = 18,231.85 × 3,946.57
  4. Step 4: Simplify right side
    12,154.57x = 71,953,161.36
  5. Step 5: Solve for x
    x = 71,953,161.36/12,154.57
  6. Step 6: Final answer
    x = 5,919.85

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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.