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Finding the Fourth Proportional to 30,205.50, 41,684.15 and 16,778.00

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Solution

The fourth proportional to 30,205.50, 41,684.15 and 16,778.00 is: 23,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.50 : 41,684.15 = 16,778.00 : x
  2. Step 2: Convert to fraction form
    30,205.50/41,684.15 = 16,778.00/x
  3. Step 3: Cross multiply
    30,205.50x = 41,684.15 × 16,778.00
  4. Step 4: Simplify right side
    30,205.50x = 699,376,502.22
  5. Step 5: Solve for x
    x = 699,376,502.22/30,205.50
  6. Step 6: Final answer
    x = 23,153.95

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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.