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Finding the Fourth Proportional to 13,745.58, 20,626.86 and 5,424.18

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Solution

The fourth proportional to 13,745.58, 20,626.86 and 5,424.18 is: 8,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.58 : 20,626.86 = 5,424.18 : x
  2. Step 2: Convert to fraction form
    13,745.58/20,626.86 = 5,424.18/x
  3. Step 3: Cross multiply
    13,745.58x = 20,626.86 × 5,424.18
  4. Step 4: Simplify right side
    13,745.58x = 111,883,801.47
  5. Step 5: Solve for x
    x = 111,883,801.47/13,745.58
  6. Step 6: Final answer
    x = 8,139.62

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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.