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Finding the Fourth Proportional to 20,584.89, 28,408.59 and 11,633.22

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Solution

The fourth proportional to 20,584.89, 28,408.59 and 11,633.22 is: 16,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.89 : 28,408.59 = 11,633.22 : x
  2. Step 2: Convert to fraction form
    20,584.89/28,408.59 = 11,633.22/x
  3. Step 3: Cross multiply
    20,584.89x = 28,408.59 × 11,633.22
  4. Step 4: Simplify right side
    20,584.89x = 330,483,377.36
  5. Step 5: Solve for x
    x = 330,483,377.36/20,584.89
  6. Step 6: Final answer
    x = 16,054.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.