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Finding the Fourth Proportional to 23,797.40, 35,696.67 and 8,002.64

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Solution

The fourth proportional to 23,797.40, 35,696.67 and 8,002.64 is: 12,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.40 : 35,696.67 = 8,002.64 : x
  2. Step 2: Convert to fraction form
    23,797.40/35,696.67 = 8,002.64/x
  3. Step 3: Cross multiply
    23,797.40x = 35,696.67 × 8,002.64
  4. Step 4: Simplify right side
    23,797.40x = 285,667,380.71
  5. Step 5: Solve for x
    x = 285,667,380.71/23,797.40
  6. Step 6: Final answer
    x = 12,004.14

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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.