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Finding the Fourth Proportional to 11,825.80, 17,722.92 and 4,422.76

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Solution

The fourth proportional to 11,825.80, 17,722.92 and 4,422.76 is: 6,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.80 : 17,722.92 = 4,422.76 : x
  2. Step 2: Convert to fraction form
    11,825.80/17,722.92 = 4,422.76/x
  3. Step 3: Cross multiply
    11,825.80x = 17,722.92 × 4,422.76
  4. Step 4: Simplify right side
    11,825.80x = 78,384,221.66
  5. Step 5: Solve for x
    x = 78,384,221.66/11,825.80
  6. Step 6: Final answer
    x = 6,628.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.