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Finding the Fourth Proportional to 16,057.98, 24,093.18 and 6,194.52

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Solution

The fourth proportional to 16,057.98, 24,093.18 and 6,194.52 is: 9,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.98 : 24,093.18 = 6,194.52 : x
  2. Step 2: Convert to fraction form
    16,057.98/24,093.18 = 6,194.52/x
  3. Step 3: Cross multiply
    16,057.98x = 24,093.18 × 6,194.52
  4. Step 4: Simplify right side
    16,057.98x = 149,245,685.37
  5. Step 5: Solve for x
    x = 149,245,685.37/16,057.98
  6. Step 6: Final answer
    x = 9,294.18

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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.