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Finding the Fourth Proportional to 13,821.34, 20,740.90 and 13,770.32

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Solution

The fourth proportional to 13,821.34, 20,740.90 and 13,770.32 is: 20,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.34 : 20,740.90 = 13,770.32 : x
  2. Step 2: Convert to fraction form
    13,821.34/20,740.90 = 13,770.32/x
  3. Step 3: Cross multiply
    13,821.34x = 20,740.90 × 13,770.32
  4. Step 4: Simplify right side
    13,821.34x = 285,608,830.09
  5. Step 5: Solve for x
    x = 285,608,830.09/13,821.34
  6. Step 6: Final answer
    x = 20,664.34

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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.