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Finding the Fourth Proportional to 13,714.50, 20,571.82 and 3,326.25

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Solution

The fourth proportional to 13,714.50, 20,571.82 and 3,326.25 is: 4,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.50 : 20,571.82 = 3,326.25 : x
  2. Step 2: Convert to fraction form
    13,714.50/20,571.82 = 3,326.25/x
  3. Step 3: Cross multiply
    13,714.50x = 20,571.82 × 3,326.25
  4. Step 4: Simplify right side
    13,714.50x = 68,427,016.28
  5. Step 5: Solve for x
    x = 68,427,016.28/13,714.50
  6. Step 6: Final answer
    x = 4,989.39

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Why These Related Problems?

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