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Finding the Fourth Proportional to 21,736.68, 32,614.38 and 11,739.42

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Solution

The fourth proportional to 21,736.68, 32,614.38 and 11,739.42 is: 17,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,736.68 : 32,614.38 = 11,739.42 : x
  2. Step 2: Convert to fraction form
    21,736.68/32,614.38 = 11,739.42/x
  3. Step 3: Cross multiply
    21,736.68x = 32,614.38 × 11,739.42
  4. Step 4: Simplify right side
    21,736.68x = 382,873,904.86
  5. Step 5: Solve for x
    x = 382,873,904.86/21,736.68
  6. Step 6: Final answer
    x = 17,614.19

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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.