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Finding the Fourth Proportional to 26,759.50, 40,139.25 and 11,166.19

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Solution

The fourth proportional to 26,759.50, 40,139.25 and 11,166.19 is: 16,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,759.50 : 40,139.25 = 11,166.19 : x
  2. Step 2: Convert to fraction form
    26,759.50/40,139.25 = 11,166.19/x
  3. Step 3: Cross multiply
    26,759.50x = 40,139.25 × 11,166.19
  4. Step 4: Simplify right side
    26,759.50x = 448,202,349.74
  5. Step 5: Solve for x
    x = 448,202,349.74/26,759.50
  6. Step 6: Final answer
    x = 16,749.28

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Why These Related Problems?

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