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Finding the Fourth Proportional to 23,491.42, 35,236.21 and 7,697.64

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Solution

The fourth proportional to 23,491.42, 35,236.21 and 7,697.64 is: 11,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491.42 : 35,236.21 = 7,697.64 : x
  2. Step 2: Convert to fraction form
    23,491.42/35,236.21 = 7,697.64/x
  3. Step 3: Cross multiply
    23,491.42x = 35,236.21 × 7,697.64
  4. Step 4: Simplify right side
    23,491.42x = 271,235,659.54
  5. Step 5: Solve for x
    x = 271,235,659.54/23,491.42
  6. Step 6: Final answer
    x = 11,546.16

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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.