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Finding the Fourth Proportional to 13,772.14, 20,659.57 and 4,409.80

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Solution

The fourth proportional to 13,772.14, 20,659.57 and 4,409.80 is: 6,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.14 : 20,659.57 = 4,409.80 : x
  2. Step 2: Convert to fraction form
    13,772.14/20,659.57 = 4,409.80/x
  3. Step 3: Cross multiply
    13,772.14x = 20,659.57 × 4,409.80
  4. Step 4: Simplify right side
    13,772.14x = 91,104,571.79
  5. Step 5: Solve for x
    x = 91,104,571.79/13,772.14
  6. Step 6: Final answer
    x = 6,615.14

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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.