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Finding the Fourth Proportional to 16,077.22, 24,101.46 and 8,175.31

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Solution

The fourth proportional to 16,077.22, 24,101.46 and 8,175.31 is: 12,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.22 : 24,101.46 = 8,175.31 : x
  2. Step 2: Convert to fraction form
    16,077.22/24,101.46 = 8,175.31/x
  3. Step 3: Cross multiply
    16,077.22x = 24,101.46 × 8,175.31
  4. Step 4: Simplify right side
    16,077.22x = 197,036,846.70
  5. Step 5: Solve for x
    x = 197,036,846.70/16,077.22
  6. Step 6: Final answer
    x = 12,255.66

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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.