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Finding the Fourth Proportional to 13,621.52, 18,794.38 and 8,314.40

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Solution

The fourth proportional to 13,621.52, 18,794.38 and 8,314.40 is: 11,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,621.52 : 18,794.38 = 8,314.40 : x
  2. Step 2: Convert to fraction form
    13,621.52/18,794.38 = 8,314.40/x
  3. Step 3: Cross multiply
    13,621.52x = 18,794.38 × 8,314.40
  4. Step 4: Simplify right side
    13,621.52x = 156,263,993.07
  5. Step 5: Solve for x
    x = 156,263,993.07/13,621.52
  6. Step 6: Final answer
    x = 11,471.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.