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Finding the Fourth Proportional to 21,469.84, 32,208.20 and 6,682.17

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Solution

The fourth proportional to 21,469.84, 32,208.20 and 6,682.17 is: 10,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.84 : 32,208.20 = 6,682.17 : x
  2. Step 2: Convert to fraction form
    21,469.84/32,208.20 = 6,682.17/x
  3. Step 3: Cross multiply
    21,469.84x = 32,208.20 × 6,682.17
  4. Step 4: Simplify right side
    21,469.84x = 215,220,634.38
  5. Step 5: Solve for x
    x = 215,220,634.38/21,469.84
  6. Step 6: Final answer
    x = 10,024.33

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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.