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Finding the Fourth Proportional to 13,711.82, 18,922.66 and 8,409.56

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Solution

The fourth proportional to 13,711.82, 18,922.66 and 8,409.56 is: 11,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.82 : 18,922.66 = 8,409.56 : x
  2. Step 2: Convert to fraction form
    13,711.82/18,922.66 = 8,409.56/x
  3. Step 3: Cross multiply
    13,711.82x = 18,922.66 × 8,409.56
  4. Step 4: Simplify right side
    13,711.82x = 159,131,244.63
  5. Step 5: Solve for x
    x = 159,131,244.63/13,711.82
  6. Step 6: Final answer
    x = 11,605.41

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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.