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Finding the Fourth Proportional to 20,085.87, 27,729.54 and 13,722.03

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Solution

The fourth proportional to 20,085.87, 27,729.54 and 13,722.03 is: 18,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.87 : 27,729.54 = 13,722.03 : x
  2. Step 2: Convert to fraction form
    20,085.87/27,729.54 = 13,722.03/x
  3. Step 3: Cross multiply
    20,085.87x = 27,729.54 × 13,722.03
  4. Step 4: Simplify right side
    20,085.87x = 380,505,579.77
  5. Step 5: Solve for x
    x = 380,505,579.77/20,085.87
  6. Step 6: Final answer
    x = 18,943.94

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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.