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Finding the Fourth Proportional to 26,883, 37,092.48 and 16,270.38

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Solution

The fourth proportional to 26,883, 37,092.48 and 16,270.38 is: 22,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,883 : 37,092.48 = 16,270.38 : x
  2. Step 2: Convert to fraction form
    26,883/37,092.48 = 16,270.38/x
  3. Step 3: Cross multiply
    26,883x = 37,092.48 × 16,270.38
  4. Step 4: Simplify right side
    26,883x = 603,508,744.74
  5. Step 5: Solve for x
    x = 603,508,744.74/26,883
  6. Step 6: Final answer
    x = 22,449.46

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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.