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Finding the Fourth Proportional to 13,984.65, 20,963.61 and 5,217.21

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Solution

The fourth proportional to 13,984.65, 20,963.61 and 5,217.21 is: 7,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.65 : 20,963.61 = 5,217.21 : x
  2. Step 2: Convert to fraction form
    13,984.65/20,963.61 = 5,217.21/x
  3. Step 3: Cross multiply
    13,984.65x = 20,963.61 × 5,217.21
  4. Step 4: Simplify right side
    13,984.65x = 109,371,555.73
  5. Step 5: Solve for x
    x = 109,371,555.73/13,984.65
  6. Step 6: Final answer
    x = 7,820.83

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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.