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Finding the Fourth Proportional to 13,852.44, 20,872.17 and 11,441.27

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Solution

The fourth proportional to 13,852.44, 20,872.17 and 11,441.27 is: 17,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.44 : 20,872.17 = 11,441.27 : x
  2. Step 2: Convert to fraction form
    13,852.44/20,872.17 = 11,441.27/x
  3. Step 3: Cross multiply
    13,852.44x = 20,872.17 × 11,441.27
  4. Step 4: Simplify right side
    13,852.44x = 238,804,184.64
  5. Step 5: Solve for x
    x = 238,804,184.64/13,852.44
  6. Step 6: Final answer
    x = 17,239.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.