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Finding the Fourth Proportional to 13,972.50, 20,958.75 and 3,584.25

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Solution

The fourth proportional to 13,972.50, 20,958.75 and 3,584.25 is: 5,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.50 : 20,958.75 = 3,584.25 : x
  2. Step 2: Convert to fraction form
    13,972.50/20,958.75 = 3,584.25/x
  3. Step 3: Cross multiply
    13,972.50x = 20,958.75 × 3,584.25
  4. Step 4: Simplify right side
    13,972.50x = 75,121,399.69
  5. Step 5: Solve for x
    x = 75,121,399.69/13,972.50
  6. Step 6: Final answer
    x = 5,376.38

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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.