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Finding the Fourth Proportional to 21,540.25, 32,310.39 and 6,750.32

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Solution

The fourth proportional to 21,540.25, 32,310.39 and 6,750.32 is: 10,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.25 : 32,310.39 = 6,750.32 : x
  2. Step 2: Convert to fraction form
    21,540.25/32,310.39 = 6,750.32/x
  3. Step 3: Cross multiply
    21,540.25x = 32,310.39 × 6,750.32
  4. Step 4: Simplify right side
    21,540.25x = 218,105,559.24
  5. Step 5: Solve for x
    x = 218,105,559.24/21,540.25
  6. Step 6: Final answer
    x = 10,125.49

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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.