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Finding the Fourth Proportional to 21,194.25, 31,797.05 and 7,343.25

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Solution

The fourth proportional to 21,194.25, 31,797.05 and 7,343.25 is: 11,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.25 : 31,797.05 = 7,343.25 : x
  2. Step 2: Convert to fraction form
    21,194.25/31,797.05 = 7,343.25/x
  3. Step 3: Cross multiply
    21,194.25x = 31,797.05 × 7,343.25
  4. Step 4: Simplify right side
    21,194.25x = 233,493,650.70
  5. Step 5: Solve for x
    x = 233,493,650.70/21,194.25
  6. Step 6: Final answer
    x = 11,016.84

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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.