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Finding the Fourth Proportional to 23,793.84, 35,691.84 and 8,213.76

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Solution

The fourth proportional to 23,793.84, 35,691.84 and 8,213.76 is: 12,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.84 : 35,691.84 = 8,213.76 : x
  2. Step 2: Convert to fraction form
    23,793.84/35,691.84 = 8,213.76/x
  3. Step 3: Cross multiply
    23,793.84x = 35,691.84 × 8,213.76
  4. Step 4: Simplify right side
    23,793.84x = 293,164,207.72
  5. Step 5: Solve for x
    x = 293,164,207.72/23,793.84
  6. Step 6: Final answer
    x = 12,321.01

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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.