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Finding the Fourth Proportional to 23,794.02, 35,691.30 and 8,208

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Solution

The fourth proportional to 23,794.02, 35,691.30 and 8,208 is: 12,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794.02 : 35,691.30 = 8,208 : x
  2. Step 2: Convert to fraction form
    23,794.02/35,691.30 = 8,208/x
  3. Step 3: Cross multiply
    23,794.02x = 35,691.30 × 8,208
  4. Step 4: Simplify right side
    23,794.02x = 292,954,190.40
  5. Step 5: Solve for x
    x = 292,954,190.40/23,794.02
  6. Step 6: Final answer
    x = 12,312.09

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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.