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Finding the Fourth Proportional to 23,236.50, 32,061.24 and 13,164.06

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Solution

The fourth proportional to 23,236.50, 32,061.24 and 13,164.06 is: 18,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,236.50 : 32,061.24 = 13,164.06 : x
  2. Step 2: Convert to fraction form
    23,236.50/32,061.24 = 13,164.06/x
  3. Step 3: Cross multiply
    23,236.50x = 32,061.24 × 13,164.06
  4. Step 4: Simplify right side
    23,236.50x = 422,056,087.03
  5. Step 5: Solve for x
    x = 422,056,087.03/23,236.50
  6. Step 6: Final answer
    x = 18,163.50

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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.