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Finding the Fourth Proportional to 13,982.58, 20,972.07 and 4,122.90

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Solution

The fourth proportional to 13,982.58, 20,972.07 and 4,122.90 is: 6,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.58 : 20,972.07 = 4,122.90 : x
  2. Step 2: Convert to fraction form
    13,982.58/20,972.07 = 4,122.90/x
  3. Step 3: Cross multiply
    13,982.58x = 20,972.07 × 4,122.90
  4. Step 4: Simplify right side
    13,982.58x = 86,465,747.40
  5. Step 5: Solve for x
    x = 86,465,747.40/13,982.58
  6. Step 6: Final answer
    x = 6,183.82

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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.