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Finding the Fourth Proportional to 21,476.25, 32,217.01 and 6,682.82

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Solution

The fourth proportional to 21,476.25, 32,217.01 and 6,682.82 is: 10,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.25 : 32,217.01 = 6,682.82 : x
  2. Step 2: Convert to fraction form
    21,476.25/32,217.01 = 6,682.82/x
  3. Step 3: Cross multiply
    21,476.25x = 32,217.01 × 6,682.82
  4. Step 4: Simplify right side
    21,476.25x = 215,300,300.98
  5. Step 5: Solve for x
    x = 215,300,300.98/21,476.25
  6. Step 6: Final answer
    x = 10,025.04

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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.