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Finding the Fourth Proportional to 26,842.27, 40,249.74 and 10,189.64

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Solution

The fourth proportional to 26,842.27, 40,249.74 and 10,189.64 is: 15,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.27 : 40,249.74 = 10,189.64 : x
  2. Step 2: Convert to fraction form
    26,842.27/40,249.74 = 10,189.64/x
  3. Step 3: Cross multiply
    26,842.27x = 40,249.74 × 10,189.64
  4. Step 4: Simplify right side
    26,842.27x = 410,130,360.69
  5. Step 5: Solve for x
    x = 410,130,360.69/26,842.27
  6. Step 6: Final answer
    x = 15,279.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.