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Finding the Fourth Proportional to 22,422.22, 33,634.92 and 5,782.34

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Solution

The fourth proportional to 22,422.22, 33,634.92 and 5,782.34 is: 8,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.22 : 33,634.92 = 5,782.34 : x
  2. Step 2: Convert to fraction form
    22,422.22/33,634.92 = 5,782.34/x
  3. Step 3: Cross multiply
    22,422.22x = 33,634.92 × 5,782.34
  4. Step 4: Simplify right side
    22,422.22x = 194,488,443.62
  5. Step 5: Solve for x
    x = 194,488,443.62/22,422.22
  6. Step 6: Final answer
    x = 8,673.92

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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.