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Finding the Fourth Proportional to 26,238, 36,208 and 14,301.44

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Solution

The fourth proportional to 26,238, 36,208 and 14,301.44 is: 19,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,238 : 36,208 = 14,301.44 : x
  2. Step 2: Convert to fraction form
    26,238/36,208 = 14,301.44/x
  3. Step 3: Cross multiply
    26,238x = 36,208 × 14,301.44
  4. Step 4: Simplify right side
    26,238x = 517,826,539.52
  5. Step 5: Solve for x
    x = 517,826,539.52/26,238
  6. Step 6: Final answer
    x = 19,735.75

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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.