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Finding the Fourth Proportional to 13,993.54, 20,993.91 and 5,228.50

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Solution

The fourth proportional to 13,993.54, 20,993.91 and 5,228.50 is: 7,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.54 : 20,993.91 = 5,228.50 : x
  2. Step 2: Convert to fraction form
    13,993.54/20,993.91 = 5,228.50/x
  3. Step 3: Cross multiply
    13,993.54x = 20,993.91 × 5,228.50
  4. Step 4: Simplify right side
    13,993.54x = 109,766,658.44
  5. Step 5: Solve for x
    x = 109,766,658.44/13,993.54
  6. Step 6: Final answer
    x = 7,844.10

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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.