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Finding the Fourth Proportional to 19,825.56, 27,361.80 and 11,442.06

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Solution

The fourth proportional to 19,825.56, 27,361.80 and 11,442.06 is: 15,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.56 : 27,361.80 = 11,442.06 : x
  2. Step 2: Convert to fraction form
    19,825.56/27,361.80 = 11,442.06/x
  3. Step 3: Cross multiply
    19,825.56x = 27,361.80 × 11,442.06
  4. Step 4: Simplify right side
    19,825.56x = 313,075,357.31
  5. Step 5: Solve for x
    x = 313,075,357.31/19,825.56
  6. Step 6: Final answer
    x = 15,791.50

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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.