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Finding the Fourth Proportional to 13,696.25, 18,900.63 and 7,727.87

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Solution

The fourth proportional to 13,696.25, 18,900.63 and 7,727.87 is: 10,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.25 : 18,900.63 = 7,727.87 : x
  2. Step 2: Convert to fraction form
    13,696.25/18,900.63 = 7,727.87/x
  3. Step 3: Cross multiply
    13,696.25x = 18,900.63 × 7,727.87
  4. Step 4: Simplify right side
    13,696.25x = 146,061,611.56
  5. Step 5: Solve for x
    x = 146,061,611.56/13,696.25
  6. Step 6: Final answer
    x = 10,664.35

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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.