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Finding the Fourth Proportional to 26,759.75, 40,140 and 12,721.21

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Solution

The fourth proportional to 26,759.75, 40,140 and 12,721.21 is: 19,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,759.75 : 40,140 = 12,721.21 : x
  2. Step 2: Convert to fraction form
    26,759.75/40,140 = 12,721.21/x
  3. Step 3: Cross multiply
    26,759.75x = 40,140 × 12,721.21
  4. Step 4: Simplify right side
    26,759.75x = 510,629,269.05
  5. Step 5: Solve for x
    x = 510,629,269.05/26,759.75
  6. Step 6: Final answer
    x = 19,081.99

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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.