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Finding the Fourth Proportional to 43,786.50, 65,662.74 and 14,197.20

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Solution

The fourth proportional to 43,786.50, 65,662.74 and 14,197.20 is: 21,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,786.50 : 65,662.74 = 14,197.20 : x
  2. Step 2: Convert to fraction form
    43,786.50/65,662.74 = 14,197.20/x
  3. Step 3: Cross multiply
    43,786.50x = 65,662.74 × 14,197.20
  4. Step 4: Simplify right side
    43,786.50x = 932,227,052.33
  5. Step 5: Solve for x
    x = 932,227,052.33/43,786.50
  6. Step 6: Final answer
    x = 21,290.28

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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.