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Finding the Fourth Proportional to 23,338.96, 35,007.68 and 13,447.60

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Solution

The fourth proportional to 23,338.96, 35,007.68 and 13,447.60 is: 20,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.96 : 35,007.68 = 13,447.60 : x
  2. Step 2: Convert to fraction form
    23,338.96/35,007.68 = 13,447.60/x
  3. Step 3: Cross multiply
    23,338.96x = 35,007.68 × 13,447.60
  4. Step 4: Simplify right side
    23,338.96x = 470,769,277.57
  5. Step 5: Solve for x
    x = 470,769,277.57/23,338.96
  6. Step 6: Final answer
    x = 20,170.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.