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Finding the Fourth Proportional to 30,205.82, 41,682.88 and 16,777.94

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Solution

The fourth proportional to 30,205.82, 41,682.88 and 16,777.94 is: 23,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.82 : 41,682.88 = 16,777.94 : x
  2. Step 2: Convert to fraction form
    30,205.82/41,682.88 = 16,777.94/x
  3. Step 3: Cross multiply
    30,205.82x = 41,682.88 × 16,777.94
  4. Step 4: Simplify right side
    30,205.82x = 699,352,625.04
  5. Step 5: Solve for x
    x = 699,352,625.04/30,205.82
  6. Step 6: Final answer
    x = 23,152.91

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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.