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Finding the Fourth Proportional to 13,757.84, 18,977.28 and 8,447.48

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Solution

The fourth proportional to 13,757.84, 18,977.28 and 8,447.48 is: 11,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.84 : 18,977.28 = 8,447.48 : x
  2. Step 2: Convert to fraction form
    13,757.84/18,977.28 = 8,447.48/x
  3. Step 3: Cross multiply
    13,757.84x = 18,977.28 × 8,447.48
  4. Step 4: Simplify right side
    13,757.84x = 160,310,193.25
  5. Step 5: Solve for x
    x = 160,310,193.25/13,757.84
  6. Step 6: Final answer
    x = 11,652.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.