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Finding the Fourth Proportional to 20,097.36, 27,734.36 and 11,146.23

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Solution

The fourth proportional to 20,097.36, 27,734.36 and 11,146.23 is: 15,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.36 : 27,734.36 = 11,146.23 : x
  2. Step 2: Convert to fraction form
    20,097.36/27,734.36 = 11,146.23/x
  3. Step 3: Cross multiply
    20,097.36x = 27,734.36 × 11,146.23
  4. Step 4: Simplify right side
    20,097.36x = 309,133,361.06
  5. Step 5: Solve for x
    x = 309,133,361.06/20,097.36
  6. Step 6: Final answer
    x = 15,381.79

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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.