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Finding the Fourth Proportional to 26,950, 37,193.52 and 15,772

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Solution

The fourth proportional to 26,950, 37,193.52 and 15,772 is: 21,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,950 : 37,193.52 = 15,772 : x
  2. Step 2: Convert to fraction form
    26,950/37,193.52 = 15,772/x
  3. Step 3: Cross multiply
    26,950x = 37,193.52 × 15,772
  4. Step 4: Simplify right side
    26,950x = 586,616,197.44
  5. Step 5: Solve for x
    x = 586,616,197.44/26,950
  6. Step 6: Final answer
    x = 21,766.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.