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Finding the Fourth Proportional to 13,664.80, 18,857.10 and 7,696

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Solution

The fourth proportional to 13,664.80, 18,857.10 and 7,696 is: 10,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.80 : 18,857.10 = 7,696 : x
  2. Step 2: Convert to fraction form
    13,664.80/18,857.10 = 7,696/x
  3. Step 3: Cross multiply
    13,664.80x = 18,857.10 × 7,696
  4. Step 4: Simplify right side
    13,664.80x = 145,124,241.60
  5. Step 5: Solve for x
    x = 145,124,241.60/13,664.80
  6. Step 6: Final answer
    x = 10,620.30

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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.