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Finding the Fourth Proportional to 23,243.14, 32,068.41 and 13,169.98

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Solution

The fourth proportional to 23,243.14, 32,068.41 and 13,169.98 is: 18,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,243.14 : 32,068.41 = 13,169.98 : x
  2. Step 2: Convert to fraction form
    23,243.14/32,068.41 = 13,169.98/x
  3. Step 3: Cross multiply
    23,243.14x = 32,068.41 × 13,169.98
  4. Step 4: Simplify right side
    23,243.14x = 422,340,318.33
  5. Step 5: Solve for x
    x = 422,340,318.33/23,243.14
  6. Step 6: Final answer
    x = 18,170.54

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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.