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Finding the Fourth Proportional to 20,705.87, 28,580.55 and 11,759.33

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Solution

The fourth proportional to 20,705.87, 28,580.55 and 11,759.33 is: 16,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.87 : 28,580.55 = 11,759.33 : x
  2. Step 2: Convert to fraction form
    20,705.87/28,580.55 = 11,759.33/x
  3. Step 3: Cross multiply
    20,705.87x = 28,580.55 × 11,759.33
  4. Step 4: Simplify right side
    20,705.87x = 336,088,119.03
  5. Step 5: Solve for x
    x = 336,088,119.03/20,705.87
  6. Step 6: Final answer
    x = 16,231.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.