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Finding the Fourth Proportional to 13,942.72, 19,243.92 and 8,356.96

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Solution

The fourth proportional to 13,942.72, 19,243.92 and 8,356.96 is: 11,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.72 : 19,243.92 = 8,356.96 : x
  2. Step 2: Convert to fraction form
    13,942.72/19,243.92 = 8,356.96/x
  3. Step 3: Cross multiply
    13,942.72x = 19,243.92 × 8,356.96
  4. Step 4: Simplify right side
    13,942.72x = 160,820,669.68
  5. Step 5: Solve for x
    x = 160,820,669.68/13,942.72
  6. Step 6: Final answer
    x = 11,534.38

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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.