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Finding the Fourth Proportional to 14,164.80, 21,257.28 and 6,380.16

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Solution

The fourth proportional to 14,164.80, 21,257.28 and 6,380.16 is: 9,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.80 : 21,257.28 = 6,380.16 : x
  2. Step 2: Convert to fraction form
    14,164.80/21,257.28 = 6,380.16/x
  3. Step 3: Cross multiply
    14,164.80x = 21,257.28 × 6,380.16
  4. Step 4: Simplify right side
    14,164.80x = 135,624,847.56
  5. Step 5: Solve for x
    x = 135,624,847.56/14,164.80
  6. Step 6: Final answer
    x = 9,574.78

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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.