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Finding the Fourth Proportional to 23,642.28, 35,469.90 and 8,057.88

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Solution

The fourth proportional to 23,642.28, 35,469.90 and 8,057.88 is: 12,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.28 : 35,469.90 = 8,057.88 : x
  2. Step 2: Convert to fraction form
    23,642.28/35,469.90 = 8,057.88/x
  3. Step 3: Cross multiply
    23,642.28x = 35,469.90 × 8,057.88
  4. Step 4: Simplify right side
    23,642.28x = 285,812,197.81
  5. Step 5: Solve for x
    x = 285,812,197.81/23,642.28
  6. Step 6: Final answer
    x = 12,089.03

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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.