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Finding the Fourth Proportional to 23,523.87, 32,463.36 and 12,914.49

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Solution

The fourth proportional to 23,523.87, 32,463.36 and 12,914.49 is: 17,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.87 : 32,463.36 = 12,914.49 : x
  2. Step 2: Convert to fraction form
    23,523.87/32,463.36 = 12,914.49/x
  3. Step 3: Cross multiply
    23,523.87x = 32,463.36 × 12,914.49
  4. Step 4: Simplify right side
    23,523.87x = 419,247,738.09
  5. Step 5: Solve for x
    x = 419,247,738.09/23,523.87
  6. Step 6: Final answer
    x = 17,822.23

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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.