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Finding the Fourth Proportional to 26,826.38, 37,021.37 and 16,209.86

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Solution

The fourth proportional to 26,826.38, 37,021.37 and 16,209.86 is: 22,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,826.38 : 37,021.37 = 16,209.86 : x
  2. Step 2: Convert to fraction form
    26,826.38/37,021.37 = 16,209.86/x
  3. Step 3: Cross multiply
    26,826.38x = 37,021.37 × 16,209.86
  4. Step 4: Simplify right side
    26,826.38x = 600,111,143.66
  5. Step 5: Solve for x
    x = 600,111,143.66/26,826.38
  6. Step 6: Final answer
    x = 22,370.19

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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.