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Finding the Fourth Proportional to 23,684.27, 35,513.34 and 9,640.69

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Solution

The fourth proportional to 23,684.27, 35,513.34 and 9,640.69 is: 14,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.27 : 35,513.34 = 9,640.69 : x
  2. Step 2: Convert to fraction form
    23,684.27/35,513.34 = 9,640.69/x
  3. Step 3: Cross multiply
    23,684.27x = 35,513.34 × 9,640.69
  4. Step 4: Simplify right side
    23,684.27x = 342,372,976.87
  5. Step 5: Solve for x
    x = 342,372,976.87/23,684.27
  6. Step 6: Final answer
    x = 14,455.71

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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.