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Finding the Fourth Proportional to 26,086.68, 35,999.37 and 14,758.38

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Solution

The fourth proportional to 26,086.68, 35,999.37 and 14,758.38 is: 20,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,086.68 : 35,999.37 = 14,758.38 : x
  2. Step 2: Convert to fraction form
    26,086.68/35,999.37 = 14,758.38/x
  3. Step 3: Cross multiply
    26,086.68x = 35,999.37 × 14,758.38
  4. Step 4: Simplify right side
    26,086.68x = 531,292,382.22
  5. Step 5: Solve for x
    x = 531,292,382.22/26,086.68
  6. Step 6: Final answer
    x = 20,366.42

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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.