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Finding the Fourth Proportional to 23,234.98, 32,063.24 and 13,163.22

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Solution

The fourth proportional to 23,234.98, 32,063.24 and 13,163.22 is: 18,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.98 : 32,063.24 = 13,163.22 : x
  2. Step 2: Convert to fraction form
    23,234.98/32,063.24 = 13,163.22/x
  3. Step 3: Cross multiply
    23,234.98x = 32,063.24 × 13,163.22
  4. Step 4: Simplify right side
    23,234.98x = 422,055,482.03
  5. Step 5: Solve for x
    x = 422,055,482.03/23,234.98
  6. Step 6: Final answer
    x = 18,164.66

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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.