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Finding the Fourth Proportional to 12,313.26, 18,469.71 and 5,735.70

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Solution

The fourth proportional to 12,313.26, 18,469.71 and 5,735.70 is: 8,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.26 : 18,469.71 = 5,735.70 : x
  2. Step 2: Convert to fraction form
    12,313.26/18,469.71 = 5,735.70/x
  3. Step 3: Cross multiply
    12,313.26x = 18,469.71 × 5,735.70
  4. Step 4: Simplify right side
    12,313.26x = 105,936,715.65
  5. Step 5: Solve for x
    x = 105,936,715.65/12,313.26
  6. Step 6: Final answer
    x = 8,603.47

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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.