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Finding the Fourth Proportional to 21,157.88, 31,741.26 and 6,367.88

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Solution

The fourth proportional to 21,157.88, 31,741.26 and 6,367.88 is: 9,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.88 : 31,741.26 = 6,367.88 : x
  2. Step 2: Convert to fraction form
    21,157.88/31,741.26 = 6,367.88/x
  3. Step 3: Cross multiply
    21,157.88x = 31,741.26 × 6,367.88
  4. Step 4: Simplify right side
    21,157.88x = 202,124,534.73
  5. Step 5: Solve for x
    x = 202,124,534.73/21,157.88
  6. Step 6: Final answer
    x = 9,553.16

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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.