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Finding the Fourth Proportional to 13,744.54, 20,626.93 and 9,291.70

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Solution

The fourth proportional to 13,744.54, 20,626.93 and 9,291.70 is: 13,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.54 : 20,626.93 = 9,291.70 : x
  2. Step 2: Convert to fraction form
    13,744.54/20,626.93 = 9,291.70/x
  3. Step 3: Cross multiply
    13,744.54x = 20,626.93 × 9,291.70
  4. Step 4: Simplify right side
    13,744.54x = 191,659,205.53
  5. Step 5: Solve for x
    x = 191,659,205.53/13,744.54
  6. Step 6: Final answer
    x = 13,944.39

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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.