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Finding the Fourth Proportional to 20,431.57, 28,205.22 and 13,636.84

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Solution

The fourth proportional to 20,431.57, 28,205.22 and 13,636.84 is: 18,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.57 : 28,205.22 = 13,636.84 : x
  2. Step 2: Convert to fraction form
    20,431.57/28,205.22 = 13,636.84/x
  3. Step 3: Cross multiply
    20,431.57x = 28,205.22 × 13,636.84
  4. Step 4: Simplify right side
    20,431.57x = 384,630,072.30
  5. Step 5: Solve for x
    x = 384,630,072.30/20,431.57
  6. Step 6: Final answer
    x = 18,825.28

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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.