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Finding the Fourth Proportional to 13,843.98, 20,728.98 and 7,256.34

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Solution

The fourth proportional to 13,843.98, 20,728.98 and 7,256.34 is: 10,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.98 : 20,728.98 = 7,256.34 : x
  2. Step 2: Convert to fraction form
    13,843.98/20,728.98 = 7,256.34/x
  3. Step 3: Cross multiply
    13,843.98x = 20,728.98 × 7,256.34
  4. Step 4: Simplify right side
    13,843.98x = 150,416,526.73
  5. Step 5: Solve for x
    x = 150,416,526.73/13,843.98
  6. Step 6: Final answer
    x = 10,865.12

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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.