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Finding the Fourth Proportional to 12,121.75, 16,728.29 and 7,408.63

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Solution

The fourth proportional to 12,121.75, 16,728.29 and 7,408.63 is: 10,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.75 : 16,728.29 = 7,408.63 : x
  2. Step 2: Convert to fraction form
    12,121.75/16,728.29 = 7,408.63/x
  3. Step 3: Cross multiply
    12,121.75x = 16,728.29 × 7,408.63
  4. Step 4: Simplify right side
    12,121.75x = 123,933,711.14
  5. Step 5: Solve for x
    x = 123,933,711.14/12,121.75
  6. Step 6: Final answer
    x = 10,224.08

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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.