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Finding the Fourth Proportional to 12,586.95, 18,880.61 and 5,469.57

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Solution

The fourth proportional to 12,586.95, 18,880.61 and 5,469.57 is: 8,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.95 : 18,880.61 = 5,469.57 : x
  2. Step 2: Convert to fraction form
    12,586.95/18,880.61 = 5,469.57/x
  3. Step 3: Cross multiply
    12,586.95x = 18,880.61 × 5,469.57
  4. Step 4: Simplify right side
    12,586.95x = 103,268,790.69
  5. Step 5: Solve for x
    x = 103,268,790.69/12,586.95
  6. Step 6: Final answer
    x = 8,204.43

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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.