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Finding the Fourth Proportional to 17,584.85, 24,267.38 and 9,627.82

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Solution

The fourth proportional to 17,584.85, 24,267.38 and 9,627.82 is: 13,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.85 : 24,267.38 = 9,627.82 : x
  2. Step 2: Convert to fraction form
    17,584.85/24,267.38 = 9,627.82/x
  3. Step 3: Cross multiply
    17,584.85x = 24,267.38 × 9,627.82
  4. Step 4: Simplify right side
    17,584.85x = 233,641,857.70
  5. Step 5: Solve for x
    x = 233,641,857.70/17,584.85
  6. Step 6: Final answer
    x = 13,286.54

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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.