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Finding the Fourth Proportional to 21,634.23, 32,456.82 and 6,642.11

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Solution

The fourth proportional to 21,634.23, 32,456.82 and 6,642.11 is: 9,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.23 : 32,456.82 = 6,642.11 : x
  2. Step 2: Convert to fraction form
    21,634.23/32,456.82 = 6,642.11/x
  3. Step 3: Cross multiply
    21,634.23x = 32,456.82 × 6,642.11
  4. Step 4: Simplify right side
    21,634.23x = 215,581,703.21
  5. Step 5: Solve for x
    x = 215,581,703.21/21,634.23
  6. Step 6: Final answer
    x = 9,964.85

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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.