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Finding the Fourth Proportional to 12,014.82, 16,571.67 and 8,028.93

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Solution

The fourth proportional to 12,014.82, 16,571.67 and 8,028.93 is: 11,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.82 : 16,571.67 = 8,028.93 : x
  2. Step 2: Convert to fraction form
    12,014.82/16,571.67 = 8,028.93/x
  3. Step 3: Cross multiply
    12,014.82x = 16,571.67 × 8,028.93
  4. Step 4: Simplify right side
    12,014.82x = 133,052,778.41
  5. Step 5: Solve for x
    x = 133,052,778.41/12,014.82
  6. Step 6: Final answer
    x = 11,074.06

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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.