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Finding the Fourth Proportional to 21,721.82, 32,566.78 and 6,922.22

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Solution

The fourth proportional to 21,721.82, 32,566.78 and 6,922.22 is: 10,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.82 : 32,566.78 = 6,922.22 : x
  2. Step 2: Convert to fraction form
    21,721.82/32,566.78 = 6,922.22/x
  3. Step 3: Cross multiply
    21,721.82x = 32,566.78 × 6,922.22
  4. Step 4: Simplify right side
    21,721.82x = 225,434,415.85
  5. Step 5: Solve for x
    x = 225,434,415.85/21,721.82
  6. Step 6: Final answer
    x = 10,378.25

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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.