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Finding the Fourth Proportional to 30,212.98, 41,694 and 16,783.90

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Solution

The fourth proportional to 30,212.98, 41,694 and 16,783.90 is: 23,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.98 : 41,694 = 16,783.90 : x
  2. Step 2: Convert to fraction form
    30,212.98/41,694 = 16,783.90/x
  3. Step 3: Cross multiply
    30,212.98x = 41,694 × 16,783.90
  4. Step 4: Simplify right side
    30,212.98x = 699,787,926.60
  5. Step 5: Solve for x
    x = 699,787,926.60/30,212.98
  6. Step 6: Final answer
    x = 23,161.83

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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.