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Finding the Fourth Proportional to 13,405.11, 18,496.38 and 8,100.22

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Solution

The fourth proportional to 13,405.11, 18,496.38 and 8,100.22 is: 11,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.11 : 18,496.38 = 8,100.22 : x
  2. Step 2: Convert to fraction form
    13,405.11/18,496.38 = 8,100.22/x
  3. Step 3: Cross multiply
    13,405.11x = 18,496.38 × 8,100.22
  4. Step 4: Simplify right side
    13,405.11x = 149,824,747.20
  5. Step 5: Solve for x
    x = 149,824,747.20/13,405.11
  6. Step 6: Final answer
    x = 11,176.69

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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.