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Finding the Fourth Proportional to 21,107.88, 31,672.44 and 7,960.32

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Solution

The fourth proportional to 21,107.88, 31,672.44 and 7,960.32 is: 11,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.88 : 31,672.44 = 7,960.32 : x
  2. Step 2: Convert to fraction form
    21,107.88/31,672.44 = 7,960.32/x
  3. Step 3: Cross multiply
    21,107.88x = 31,672.44 × 7,960.32
  4. Step 4: Simplify right side
    21,107.88x = 252,122,757.58
  5. Step 5: Solve for x
    x = 252,122,757.58/21,107.88
  6. Step 6: Final answer
    x = 11,944.49

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1.5x scale

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.