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Finding the Fourth Proportional to 23,694.77, 35,544.20 and 6,164.59

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Solution

The fourth proportional to 23,694.77, 35,544.20 and 6,164.59 is: 9,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.77 : 35,544.20 = 6,164.59 : x
  2. Step 2: Convert to fraction form
    23,694.77/35,544.20 = 6,164.59/x
  3. Step 3: Cross multiply
    23,694.77x = 35,544.20 × 6,164.59
  4. Step 4: Simplify right side
    23,694.77x = 219,115,419.88
  5. Step 5: Solve for x
    x = 219,115,419.88/23,694.77
  6. Step 6: Final answer
    x = 9,247.42

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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.