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Finding the Fourth Proportional to 23,309.67, 32,171.51 and 13,748.97

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Solution

The fourth proportional to 23,309.67, 32,171.51 and 13,748.97 is: 18,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.67 : 32,171.51 = 13,748.97 : x
  2. Step 2: Convert to fraction form
    23,309.67/32,171.51 = 13,748.97/x
  3. Step 3: Cross multiply
    23,309.67x = 32,171.51 × 13,748.97
  4. Step 4: Simplify right side
    23,309.67x = 442,325,057.10
  5. Step 5: Solve for x
    x = 442,325,057.10/23,309.67
  6. Step 6: Final answer
    x = 18,976.03

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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.