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Finding the Fourth Proportional to 13,745.60, 20,626.32 and 8,212.40

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Solution

The fourth proportional to 13,745.60, 20,626.32 and 8,212.40 is: 12,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.60 : 20,626.32 = 8,212.40 : x
  2. Step 2: Convert to fraction form
    13,745.60/20,626.32 = 8,212.40/x
  3. Step 3: Cross multiply
    13,745.60x = 20,626.32 × 8,212.40
  4. Step 4: Simplify right side
    13,745.60x = 169,391,590.37
  5. Step 5: Solve for x
    x = 169,391,590.37/13,745.60
  6. Step 6: Final answer
    x = 12,323.33

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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.