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Finding the Fourth Proportional to 30,817.80, 46,198.56 and 11,091.84

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Solution

The fourth proportional to 30,817.80, 46,198.56 and 11,091.84 is: 16,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.80 : 46,198.56 = 11,091.84 : x
  2. Step 2: Convert to fraction form
    30,817.80/46,198.56 = 11,091.84/x
  3. Step 3: Cross multiply
    30,817.80x = 46,198.56 × 11,091.84
  4. Step 4: Simplify right side
    30,817.80x = 512,427,035.75
  5. Step 5: Solve for x
    x = 512,427,035.75/30,817.80
  6. Step 6: Final answer
    x = 16,627.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.