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Finding the Fourth Proportional to 14,165.21, 19,546.80 and 8,197.26

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Solution

The fourth proportional to 14,165.21, 19,546.80 and 8,197.26 is: 11,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.21 : 19,546.80 = 8,197.26 : x
  2. Step 2: Convert to fraction form
    14,165.21/19,546.80 = 8,197.26/x
  3. Step 3: Cross multiply
    14,165.21x = 19,546.80 × 8,197.26
  4. Step 4: Simplify right side
    14,165.21x = 160,230,244.33
  5. Step 5: Solve for x
    x = 160,230,244.33/14,165.21
  6. Step 6: Final answer
    x = 11,311.53

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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.