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Finding the Fourth Proportional to 23,808.84, 35,717.04 and 8,227.68

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Solution

The fourth proportional to 23,808.84, 35,717.04 and 8,227.68 is: 12,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.84 : 35,717.04 = 8,227.68 : x
  2. Step 2: Convert to fraction form
    23,808.84/35,717.04 = 8,227.68/x
  3. Step 3: Cross multiply
    23,808.84x = 35,717.04 × 8,227.68
  4. Step 4: Simplify right side
    23,808.84x = 293,868,375.67
  5. Step 5: Solve for x
    x = 293,868,375.67/23,808.84
  6. Step 6: Final answer
    x = 12,342.83

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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.