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Finding the Fourth Proportional to 13,682.16, 18,868.77 and 8,637.66

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Solution

The fourth proportional to 13,682.16, 18,868.77 and 8,637.66 is: 11,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.16 : 18,868.77 = 8,637.66 : x
  2. Step 2: Convert to fraction form
    13,682.16/18,868.77 = 8,637.66/x
  3. Step 3: Cross multiply
    13,682.16x = 18,868.77 × 8,637.66
  4. Step 4: Simplify right side
    13,682.16x = 162,982,019.88
  5. Step 5: Solve for x
    x = 162,982,019.88/13,682.16
  6. Step 6: Final answer
    x = 11,912.01

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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.