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Finding the Fourth Proportional to 23,431.60, 32,334.25 and 12,821.44

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Solution

The fourth proportional to 23,431.60, 32,334.25 and 12,821.44 is: 17,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.60 : 32,334.25 = 12,821.44 : x
  2. Step 2: Convert to fraction form
    23,431.60/32,334.25 = 12,821.44/x
  3. Step 3: Cross multiply
    23,431.60x = 32,334.25 × 12,821.44
  4. Step 4: Simplify right side
    23,431.60x = 414,571,420.54
  5. Step 5: Solve for x
    x = 414,571,420.54/23,431.60
  6. Step 6: Final answer
    x = 17,692.84

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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.