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Finding the Fourth Proportional to 28,205.75, 42,310.76 and 9,485.84

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Solution

The fourth proportional to 28,205.75, 42,310.76 and 9,485.84 is: 14,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.75 : 42,310.76 = 9,485.84 : x
  2. Step 2: Convert to fraction form
    28,205.75/42,310.76 = 9,485.84/x
  3. Step 3: Cross multiply
    28,205.75x = 42,310.76 × 9,485.84
  4. Step 4: Simplify right side
    28,205.75x = 401,353,157.99
  5. Step 5: Solve for x
    x = 401,353,157.99/28,205.75
  6. Step 6: Final answer
    x = 14,229.48

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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.