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Finding the Fourth Proportional to 21,093.42, 31,648.86 and 9,241.07

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Solution

The fourth proportional to 21,093.42, 31,648.86 and 9,241.07 is: 13,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.42 : 31,648.86 = 9,241.07 : x
  2. Step 2: Convert to fraction form
    21,093.42/31,648.86 = 9,241.07/x
  3. Step 3: Cross multiply
    21,093.42x = 31,648.86 × 9,241.07
  4. Step 4: Simplify right side
    21,093.42x = 292,469,172.44
  5. Step 5: Solve for x
    x = 292,469,172.44/21,093.42
  6. Step 6: Final answer
    x = 13,865.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.