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Finding the Fourth Proportional to 13,544.82, 18,695.34 and 8,238.78

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Solution

The fourth proportional to 13,544.82, 18,695.34 and 8,238.78 is: 11,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.82 : 18,695.34 = 8,238.78 : x
  2. Step 2: Convert to fraction form
    13,544.82/18,695.34 = 8,238.78/x
  3. Step 3: Cross multiply
    13,544.82x = 18,695.34 × 8,238.78
  4. Step 4: Simplify right side
    13,544.82x = 154,026,793.29
  5. Step 5: Solve for x
    x = 154,026,793.29/13,544.82
  6. Step 6: Final answer
    x = 11,371.64

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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.