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Finding the Fourth Proportional to 26,138.38, 36,071.50 and 14,202.49

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Solution

The fourth proportional to 26,138.38, 36,071.50 and 14,202.49 is: 19,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.38 : 36,071.50 = 14,202.49 : x
  2. Step 2: Convert to fraction form
    26,138.38/36,071.50 = 14,202.49/x
  3. Step 3: Cross multiply
    26,138.38x = 36,071.50 × 14,202.49
  4. Step 4: Simplify right side
    26,138.38x = 512,305,118.04
  5. Step 5: Solve for x
    x = 512,305,118.04/26,138.38
  6. Step 6: Final answer
    x = 19,599.73

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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.