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Finding the Fourth Proportional to 13,772.53, 20,660.27 and 4,409.20

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Solution

The fourth proportional to 13,772.53, 20,660.27 and 4,409.20 is: 6,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.53 : 20,660.27 = 4,409.20 : x
  2. Step 2: Convert to fraction form
    13,772.53/20,660.27 = 4,409.20/x
  3. Step 3: Cross multiply
    13,772.53x = 20,660.27 × 4,409.20
  4. Step 4: Simplify right side
    13,772.53x = 91,095,266.26
  5. Step 5: Solve for x
    x = 91,095,266.26/13,772.53
  6. Step 6: Final answer
    x = 6,614.27

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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.