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Finding the Fourth Proportional to 13,772.40, 20,649.84 and 6,366.96

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Solution

The fourth proportional to 13,772.40, 20,649.84 and 6,366.96 is: 9,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.40 : 20,649.84 = 6,366.96 : x
  2. Step 2: Convert to fraction form
    13,772.40/20,649.84 = 6,366.96/x
  3. Step 3: Cross multiply
    13,772.40x = 20,649.84 × 6,366.96
  4. Step 4: Simplify right side
    13,772.40x = 131,476,705.29
  5. Step 5: Solve for x
    x = 131,476,705.29/13,772.40
  6. Step 6: Final answer
    x = 9,546.39

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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.