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Finding the Fourth Proportional to 14,217.75, 19,620.57 and 7,844.57

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Solution

The fourth proportional to 14,217.75, 19,620.57 and 7,844.57 is: 10,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.75 : 19,620.57 = 7,844.57 : x
  2. Step 2: Convert to fraction form
    14,217.75/19,620.57 = 7,844.57/x
  3. Step 3: Cross multiply
    14,217.75x = 19,620.57 × 7,844.57
  4. Step 4: Simplify right side
    14,217.75x = 153,914,836.70
  5. Step 5: Solve for x
    x = 153,914,836.70/14,217.75
  6. Step 6: Final answer
    x = 10,825.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.