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Finding the Fourth Proportional to 13,942.56, 19,249.74 and 8,643

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Solution

The fourth proportional to 13,942.56, 19,249.74 and 8,643 is: 11,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.56 : 19,249.74 = 8,643 : x
  2. Step 2: Convert to fraction form
    13,942.56/19,249.74 = 8,643/x
  3. Step 3: Cross multiply
    13,942.56x = 19,249.74 × 8,643
  4. Step 4: Simplify right side
    13,942.56x = 166,375,502.82
  5. Step 5: Solve for x
    x = 166,375,502.82/13,942.56
  6. Step 6: Final answer
    x = 11,932.92

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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.