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Finding the Fourth Proportional to 23,883.79, 35,811.83 and 8,083.57

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Solution

The fourth proportional to 23,883.79, 35,811.83 and 8,083.57 is: 12,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,883.79 : 35,811.83 = 8,083.57 : x
  2. Step 2: Convert to fraction form
    23,883.79/35,811.83 = 8,083.57/x
  3. Step 3: Cross multiply
    23,883.79x = 35,811.83 × 8,083.57
  4. Step 4: Simplify right side
    23,883.79x = 289,487,434.63
  5. Step 5: Solve for x
    x = 289,487,434.63/23,883.79
  6. Step 6: Final answer
    x = 12,120.67

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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.