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Finding the Fourth Proportional to 23,757.14, 35,629.63 and 8,961.68

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Solution

The fourth proportional to 23,757.14, 35,629.63 and 8,961.68 is: 13,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.14 : 35,629.63 = 8,961.68 : x
  2. Step 2: Convert to fraction form
    23,757.14/35,629.63 = 8,961.68/x
  3. Step 3: Cross multiply
    23,757.14x = 35,629.63 × 8,961.68
  4. Step 4: Simplify right side
    23,757.14x = 319,301,342.58
  5. Step 5: Solve for x
    x = 319,301,342.58/23,757.14
  6. Step 6: Final answer
    x = 13,440.23

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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.