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Finding the Fourth Proportional to 26,209.38, 36,169.60 and 14,273.38

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Solution

The fourth proportional to 26,209.38, 36,169.60 and 14,273.38 is: 19,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,209.38 : 36,169.60 = 14,273.38 : x
  2. Step 2: Convert to fraction form
    26,209.38/36,169.60 = 14,273.38/x
  3. Step 3: Cross multiply
    26,209.38x = 36,169.60 × 14,273.38
  4. Step 4: Simplify right side
    26,209.38x = 516,262,445.25
  5. Step 5: Solve for x
    x = 516,262,445.25/26,209.38
  6. Step 6: Final answer
    x = 19,697.62

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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.