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Finding the Fourth Proportional to 13,682.72, 18,882.24 and 7,713.80

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Solution

The fourth proportional to 13,682.72, 18,882.24 and 7,713.80 is: 10,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.72 : 18,882.24 = 7,713.80 : x
  2. Step 2: Convert to fraction form
    13,682.72/18,882.24 = 7,713.80/x
  3. Step 3: Cross multiply
    13,682.72x = 18,882.24 × 7,713.80
  4. Step 4: Simplify right side
    13,682.72x = 145,653,822.91
  5. Step 5: Solve for x
    x = 145,653,822.91/13,682.72
  6. Step 6: Final answer
    x = 10,645.09

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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.