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Finding the Fourth Proportional to 13,982.69, 20,977.68 and 5,217.68

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Solution

The fourth proportional to 13,982.69, 20,977.68 and 5,217.68 is: 7,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.69 : 20,977.68 = 5,217.68 : x
  2. Step 2: Convert to fraction form
    13,982.69/20,977.68 = 5,217.68/x
  3. Step 3: Cross multiply
    13,982.69x = 20,977.68 × 5,217.68
  4. Step 4: Simplify right side
    13,982.69x = 109,454,821.38
  5. Step 5: Solve for x
    x = 109,454,821.38/13,982.69
  6. Step 6: Final answer
    x = 7,827.88

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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.