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Finding the Fourth Proportional to 23,793.15, 35,692.16 and 8,208.75

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Solution

The fourth proportional to 23,793.15, 35,692.16 and 8,208.75 is: 12,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.15 : 35,692.16 = 8,208.75 : x
  2. Step 2: Convert to fraction form
    23,793.15/35,692.16 = 8,208.75/x
  3. Step 3: Cross multiply
    23,793.15x = 35,692.16 × 8,208.75
  4. Step 4: Simplify right side
    23,793.15x = 292,987,977.36
  5. Step 5: Solve for x
    x = 292,987,977.36/23,793.15
  6. Step 6: Final answer
    x = 12,313.96

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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.