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Finding the Fourth Proportional to 13,687.98, 20,529.49 and 3,824.82

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Solution

The fourth proportional to 13,687.98, 20,529.49 and 3,824.82 is: 5,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.98 : 20,529.49 = 3,824.82 : x
  2. Step 2: Convert to fraction form
    13,687.98/20,529.49 = 3,824.82/x
  3. Step 3: Cross multiply
    13,687.98x = 20,529.49 × 3,824.82
  4. Step 4: Simplify right side
    13,687.98x = 78,521,501.29
  5. Step 5: Solve for x
    x = 78,521,501.29/13,687.98
  6. Step 6: Final answer
    x = 5,736.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.