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Finding the Fourth Proportional to 26,837.24, 37,035.54 and 14,738.24

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Solution

The fourth proportional to 26,837.24, 37,035.54 and 14,738.24 is: 20,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,837.24 : 37,035.54 = 14,738.24 : x
  2. Step 2: Convert to fraction form
    26,837.24/37,035.54 = 14,738.24/x
  3. Step 3: Cross multiply
    26,837.24x = 37,035.54 × 14,738.24
  4. Step 4: Simplify right side
    26,837.24x = 545,838,491.87
  5. Step 5: Solve for x
    x = 545,838,491.87/26,837.24
  6. Step 6: Final answer
    x = 20,338.85

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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.