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Finding the Fourth Proportional to 21,605.86, 32,408.79 and 6,816.27

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Solution

The fourth proportional to 21,605.86, 32,408.79 and 6,816.27 is: 10,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.86 : 32,408.79 = 6,816.27 : x
  2. Step 2: Convert to fraction form
    21,605.86/32,408.79 = 6,816.27/x
  3. Step 3: Cross multiply
    21,605.86x = 32,408.79 × 6,816.27
  4. Step 4: Simplify right side
    21,605.86x = 220,907,028.93
  5. Step 5: Solve for x
    x = 220,907,028.93/21,605.86
  6. Step 6: Final answer
    x = 10,224.41

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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.