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Finding the Fourth Proportional to 21,614.68, 32,426.34 and 6,824.98

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Solution

The fourth proportional to 21,614.68, 32,426.34 and 6,824.98 is: 10,238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,614.68 : 32,426.34 = 6,824.98 : x
  2. Step 2: Convert to fraction form
    21,614.68/32,426.34 = 6,824.98/x
  3. Step 3: Cross multiply
    21,614.68x = 32,426.34 × 6,824.98
  4. Step 4: Simplify right side
    21,614.68x = 221,309,121.97
  5. Step 5: Solve for x
    x = 221,309,121.97/21,614.68
  6. Step 6: Final answer
    x = 10,238.83

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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.