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Finding the Fourth Proportional to 12,185.75, 16,811.33 and 8,208.15

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Solution

The fourth proportional to 12,185.75, 16,811.33 and 8,208.15 is: 11,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.75 : 16,811.33 = 8,208.15 : x
  2. Step 2: Convert to fraction form
    12,185.75/16,811.33 = 8,208.15/x
  3. Step 3: Cross multiply
    12,185.75x = 16,811.33 × 8,208.15
  4. Step 4: Simplify right side
    12,185.75x = 137,989,814.26
  5. Step 5: Solve for x
    x = 137,989,814.26/12,185.75
  6. Step 6: Final answer
    x = 11,323.86

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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.