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Finding the Fourth Proportional to 23,185.80, 34,757.10 and 16,165.80

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Solution

The fourth proportional to 23,185.80, 34,757.10 and 16,165.80 is: 24,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.80 : 34,757.10 = 16,165.80 : x
  2. Step 2: Convert to fraction form
    23,185.80/34,757.10 = 16,165.80/x
  3. Step 3: Cross multiply
    23,185.80x = 34,757.10 × 16,165.80
  4. Step 4: Simplify right side
    23,185.80x = 561,876,327.18
  5. Step 5: Solve for x
    x = 561,876,327.18/23,185.80
  6. Step 6: Final answer
    x = 24,233.64

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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.