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Finding the Fourth Proportional to 13,769.57, 20,654.36 and 3,381.32

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Solution

The fourth proportional to 13,769.57, 20,654.36 and 3,381.32 is: 5,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.57 : 20,654.36 = 3,381.32 : x
  2. Step 2: Convert to fraction form
    13,769.57/20,654.36 = 3,381.32/x
  3. Step 3: Cross multiply
    13,769.57x = 20,654.36 × 3,381.32
  4. Step 4: Simplify right side
    13,769.57x = 69,839,000.56
  5. Step 5: Solve for x
    x = 69,839,000.56/13,769.57
  6. Step 6: Final answer
    x = 5,071.98

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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.