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Finding the Fourth Proportional to 12,586.94, 18,880.41 and 5,993.13

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Solution

The fourth proportional to 12,586.94, 18,880.41 and 5,993.13 is: 8,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.94 : 18,880.41 = 5,993.13 : x
  2. Step 2: Convert to fraction form
    12,586.94/18,880.41 = 5,993.13/x
  3. Step 3: Cross multiply
    12,586.94x = 18,880.41 × 5,993.13
  4. Step 4: Simplify right side
    12,586.94x = 113,152,785.23
  5. Step 5: Solve for x
    x = 113,152,785.23/12,586.94
  6. Step 6: Final answer
    x = 8,989.70

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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.