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Finding the Fourth Proportional to 30,205.22, 41,683.76 and 16,777.73

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Solution

The fourth proportional to 30,205.22, 41,683.76 and 16,777.73 is: 23,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.22 : 41,683.76 = 16,777.73 : x
  2. Step 2: Convert to fraction form
    30,205.22/41,683.76 = 16,777.73/x
  3. Step 3: Cross multiply
    30,205.22x = 41,683.76 × 16,777.73
  4. Step 4: Simplify right side
    30,205.22x = 699,358,870.66
  5. Step 5: Solve for x
    x = 699,358,870.66/30,205.22
  6. Step 6: Final answer
    x = 23,153.58

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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.