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Finding the Fourth Proportional to 14,253.38, 21,380.67 and 3,865.13

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Solution

The fourth proportional to 14,253.38, 21,380.67 and 3,865.13 is: 5,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.38 : 21,380.67 = 3,865.13 : x
  2. Step 2: Convert to fraction form
    14,253.38/21,380.67 = 3,865.13/x
  3. Step 3: Cross multiply
    14,253.38x = 21,380.67 × 3,865.13
  4. Step 4: Simplify right side
    14,253.38x = 82,639,069.04
  5. Step 5: Solve for x
    x = 82,639,069.04/14,253.38
  6. Step 6: Final answer
    x = 5,797.86

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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.