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Finding the Fourth Proportional to 23,811.39, 35,716.68 and 8,228.61

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Solution

The fourth proportional to 23,811.39, 35,716.68 and 8,228.61 is: 12,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.39 : 35,716.68 = 8,228.61 : x
  2. Step 2: Convert to fraction form
    23,811.39/35,716.68 = 8,228.61/x
  3. Step 3: Cross multiply
    23,811.39x = 35,716.68 × 8,228.61
  4. Step 4: Simplify right side
    23,811.39x = 293,898,630.21
  5. Step 5: Solve for x
    x = 293,898,630.21/23,811.39
  6. Step 6: Final answer
    x = 12,342.78

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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.