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Finding the Fourth Proportional to 30,205.41, 41,682.67 and 16,776.21

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Solution

The fourth proportional to 30,205.41, 41,682.67 and 16,776.21 is: 23,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.41 : 41,682.67 = 16,776.21 : x
  2. Step 2: Convert to fraction form
    30,205.41/41,682.67 = 16,776.21/x
  3. Step 3: Cross multiply
    30,205.41x = 41,682.67 × 16,776.21
  4. Step 4: Simplify right side
    30,205.41x = 699,277,225.28
  5. Step 5: Solve for x
    x = 699,277,225.28/30,205.41
  6. Step 6: Final answer
    x = 23,150.73

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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.