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Finding the Fourth Proportional to 13,728.37, 18,946.81 and 7,759.99

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Solution

The fourth proportional to 13,728.37, 18,946.81 and 7,759.99 is: 10,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.37 : 18,946.81 = 7,759.99 : x
  2. Step 2: Convert to fraction form
    13,728.37/18,946.81 = 7,759.99/x
  3. Step 3: Cross multiply
    13,728.37x = 18,946.81 × 7,759.99
  4. Step 4: Simplify right side
    13,728.37x = 147,026,982.94
  5. Step 5: Solve for x
    x = 147,026,982.94/13,728.37
  6. Step 6: Final answer
    x = 10,709.72

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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.