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Finding the Fourth Proportional to 21,241.89, 31,844.21 and 8,085.51

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Solution

The fourth proportional to 21,241.89, 31,844.21 and 8,085.51 is: 12,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.89 : 31,844.21 = 8,085.51 : x
  2. Step 2: Convert to fraction form
    21,241.89/31,844.21 = 8,085.51/x
  3. Step 3: Cross multiply
    21,241.89x = 31,844.21 × 8,085.51
  4. Step 4: Simplify right side
    21,241.89x = 257,476,637.97
  5. Step 5: Solve for x
    x = 257,476,637.97/21,241.89
  6. Step 6: Final answer
    x = 12,121.17

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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.