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Finding the Fourth Proportional to 24,142.39, 36,221.78 and 21,813.23

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Solution

The fourth proportional to 24,142.39, 36,221.78 and 21,813.23 is: 32,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.39 : 36,221.78 = 21,813.23 : x
  2. Step 2: Convert to fraction form
    24,142.39/36,221.78 = 21,813.23/x
  3. Step 3: Cross multiply
    24,142.39x = 36,221.78 × 21,813.23
  4. Step 4: Simplify right side
    24,142.39x = 790,114,163.24
  5. Step 5: Solve for x
    x = 790,114,163.24/24,142.39
  6. Step 6: Final answer
    x = 32,727.26

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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.