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Finding the Fourth Proportional to 13,766.22, 18,993.87 and 7,797.06

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Solution

The fourth proportional to 13,766.22, 18,993.87 and 7,797.06 is: 10,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.22 : 18,993.87 = 7,797.06 : x
  2. Step 2: Convert to fraction form
    13,766.22/18,993.87 = 7,797.06/x
  3. Step 3: Cross multiply
    13,766.22x = 18,993.87 × 7,797.06
  4. Step 4: Simplify right side
    13,766.22x = 148,096,344.02
  5. Step 5: Solve for x
    x = 148,096,344.02/13,766.22
  6. Step 6: Final answer
    x = 10,757.95

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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.