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Finding the Fourth Proportional to 23,707.96, 32,716.04 and 13,097.34

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Solution

The fourth proportional to 23,707.96, 32,716.04 and 13,097.34 is: 18,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.96 : 32,716.04 = 13,097.34 : x
  2. Step 2: Convert to fraction form
    23,707.96/32,716.04 = 13,097.34/x
  3. Step 3: Cross multiply
    23,707.96x = 32,716.04 × 13,097.34
  4. Step 4: Simplify right side
    23,707.96x = 428,493,099.33
  5. Step 5: Solve for x
    x = 428,493,099.33/23,707.96
  6. Step 6: Final answer
    x = 18,073.81

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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.