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Finding the Fourth Proportional to 13,396.08, 18,486.38 and 7,427.60

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Solution

The fourth proportional to 13,396.08, 18,486.38 and 7,427.60 is: 10,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.08 : 18,486.38 = 7,427.60 : x
  2. Step 2: Convert to fraction form
    13,396.08/18,486.38 = 7,427.60/x
  3. Step 3: Cross multiply
    13,396.08x = 18,486.38 × 7,427.60
  4. Step 4: Simplify right side
    13,396.08x = 137,309,436.09
  5. Step 5: Solve for x
    x = 137,309,436.09/13,396.08
  6. Step 6: Final answer
    x = 10,249.97

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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.