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Finding the Fourth Proportional to 14,251.75, 21,382.24 and 6,855.25

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Solution

The fourth proportional to 14,251.75, 21,382.24 and 6,855.25 is: 10,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.75 : 21,382.24 = 6,855.25 : x
  2. Step 2: Convert to fraction form
    14,251.75/21,382.24 = 6,855.25/x
  3. Step 3: Cross multiply
    14,251.75x = 21,382.24 × 6,855.25
  4. Step 4: Simplify right side
    14,251.75x = 146,580,555.87
  5. Step 5: Solve for x
    x = 146,580,555.87/14,251.75
  6. Step 6: Final answer
    x = 10,285.09

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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.