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Finding the Fourth Proportional to 23,596.57, 32,563.25 and 12,986.21

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Solution

The fourth proportional to 23,596.57, 32,563.25 and 12,986.21 is: 17,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.57 : 32,563.25 = 12,986.21 : x
  2. Step 2: Convert to fraction form
    23,596.57/32,563.25 = 12,986.21/x
  3. Step 3: Cross multiply
    23,596.57x = 32,563.25 × 12,986.21
  4. Step 4: Simplify right side
    23,596.57x = 422,873,202.78
  5. Step 5: Solve for x
    x = 422,873,202.78/23,596.57
  6. Step 6: Final answer
    x = 17,920.96

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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.