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Finding the Fourth Proportional to 13,677.96, 18,872.22 and 7,709.64

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Solution

The fourth proportional to 13,677.96, 18,872.22 and 7,709.64 is: 10,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.96 : 18,872.22 = 7,709.64 : x
  2. Step 2: Convert to fraction form
    13,677.96/18,872.22 = 7,709.64/x
  3. Step 3: Cross multiply
    13,677.96x = 18,872.22 × 7,709.64
  4. Step 4: Simplify right side
    13,677.96x = 145,498,022.20
  5. Step 5: Solve for x
    x = 145,498,022.20/13,677.96
  6. Step 6: Final answer
    x = 10,637.41

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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.