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Finding the Fourth Proportional to 23,872.64, 35,806.20 and 6,343.88

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Solution

The fourth proportional to 23,872.64, 35,806.20 and 6,343.88 is: 9,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.64 : 35,806.20 = 6,343.88 : x
  2. Step 2: Convert to fraction form
    23,872.64/35,806.20 = 6,343.88/x
  3. Step 3: Cross multiply
    23,872.64x = 35,806.20 × 6,343.88
  4. Step 4: Simplify right side
    23,872.64x = 227,150,236.06
  5. Step 5: Solve for x
    x = 227,150,236.06/23,872.64
  6. Step 6: Final answer
    x = 9,515.09

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Why These Related Problems?

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