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Finding the Fourth Proportional to 13,157, 19,735.50 and 3,923

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Solution

The fourth proportional to 13,157, 19,735.50 and 3,923 is: 5,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157 : 19,735.50 = 3,923 : x
  2. Step 2: Convert to fraction form
    13,157/19,735.50 = 3,923/x
  3. Step 3: Cross multiply
    13,157x = 19,735.50 × 3,923
  4. Step 4: Simplify right side
    13,157x = 77,422,366.50
  5. Step 5: Solve for x
    x = 77,422,366.50/13,157
  6. Step 6: Final answer
    x = 5,884.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.