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Finding the Fourth Proportional to 26,899.29, 37,105.86 and 16,141.38

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Solution

The fourth proportional to 26,899.29, 37,105.86 and 16,141.38 is: 22,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,899.29 : 37,105.86 = 16,141.38 : x
  2. Step 2: Convert to fraction form
    26,899.29/37,105.86 = 16,141.38/x
  3. Step 3: Cross multiply
    26,899.29x = 37,105.86 × 16,141.38
  4. Step 4: Simplify right side
    26,899.29x = 598,939,786.49
  5. Step 5: Solve for x
    x = 598,939,786.49/26,899.29
  6. Step 6: Final answer
    x = 22,266.01

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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.