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Finding the Fourth Proportional to 13,682.25, 18,882.86 and 8,376.08

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Solution

The fourth proportional to 13,682.25, 18,882.86 and 8,376.08 is: 11,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.25 : 18,882.86 = 8,376.08 : x
  2. Step 2: Convert to fraction form
    13,682.25/18,882.86 = 8,376.08/x
  3. Step 3: Cross multiply
    13,682.25x = 18,882.86 × 8,376.08
  4. Step 4: Simplify right side
    13,682.25x = 158,164,209.69
  5. Step 5: Solve for x
    x = 158,164,209.69/13,682.25
  6. Step 6: Final answer
    x = 11,559.81

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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.