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Finding the Fourth Proportional to 21,274.79, 31,914.36 and 8,138.21

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Solution

The fourth proportional to 21,274.79, 31,914.36 and 8,138.21 is: 12,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.79 : 31,914.36 = 8,138.21 : x
  2. Step 2: Convert to fraction form
    21,274.79/31,914.36 = 8,138.21/x
  3. Step 3: Cross multiply
    21,274.79x = 31,914.36 × 8,138.21
  4. Step 4: Simplify right side
    21,274.79x = 259,725,604.12
  5. Step 5: Solve for x
    x = 259,725,604.12/21,274.79
  6. Step 6: Final answer
    x = 12,208.14

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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.