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Finding the Fourth Proportional to 23,682.88, 35,527.68 and 8,096.32

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Solution

The fourth proportional to 23,682.88, 35,527.68 and 8,096.32 is: 12,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.88 : 35,527.68 = 8,096.32 : x
  2. Step 2: Convert to fraction form
    23,682.88/35,527.68 = 8,096.32/x
  3. Step 3: Cross multiply
    23,682.88x = 35,527.68 × 8,096.32
  4. Step 4: Simplify right side
    23,682.88x = 287,643,466.14
  5. Step 5: Solve for x
    x = 287,643,466.14/23,682.88
  6. Step 6: Final answer
    x = 12,145.63

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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.