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Finding the Fourth Proportional to 13,581.36, 18,741.60 and 7,992

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Solution

The fourth proportional to 13,581.36, 18,741.60 and 7,992 is: 11,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.36 : 18,741.60 = 7,992 : x
  2. Step 2: Convert to fraction form
    13,581.36/18,741.60 = 7,992/x
  3. Step 3: Cross multiply
    13,581.36x = 18,741.60 × 7,992
  4. Step 4: Simplify right side
    13,581.36x = 149,782,867.20
  5. Step 5: Solve for x
    x = 149,782,867.20/13,581.36
  6. Step 6: Final answer
    x = 11,028.56

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