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Finding the Fourth Proportional to 15,771.98, 21,766.86 and 11,786.18

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Solution

The fourth proportional to 15,771.98, 21,766.86 and 11,786.18 is: 16,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.98 : 21,766.86 = 11,786.18 : x
  2. Step 2: Convert to fraction form
    15,771.98/21,766.86 = 11,786.18/x
  3. Step 3: Cross multiply
    15,771.98x = 21,766.86 × 11,786.18
  4. Step 4: Simplify right side
    15,771.98x = 256,548,021.16
  5. Step 5: Solve for x
    x = 256,548,021.16/15,771.98
  6. Step 6: Final answer
    x = 16,266.06

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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.