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Finding the Fourth Proportional to 21,173.22, 31,770.16 and 8,696.99

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Solution

The fourth proportional to 21,173.22, 31,770.16 and 8,696.99 is: 13,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.22 : 31,770.16 = 8,696.99 : x
  2. Step 2: Convert to fraction form
    21,173.22/31,770.16 = 8,696.99/x
  3. Step 3: Cross multiply
    21,173.22x = 31,770.16 × 8,696.99
  4. Step 4: Simplify right side
    21,173.22x = 276,304,821.50
  5. Step 5: Solve for x
    x = 276,304,821.50/21,173.22
  6. Step 6: Final answer
    x = 13,049.73

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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.