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Finding the Fourth Proportional to 13,614.56, 18,777.84 and 11,729.36

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Solution

The fourth proportional to 13,614.56, 18,777.84 and 11,729.36 is: 16,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.56 : 18,777.84 = 11,729.36 : x
  2. Step 2: Convert to fraction form
    13,614.56/18,777.84 = 11,729.36/x
  3. Step 3: Cross multiply
    13,614.56x = 18,777.84 × 11,729.36
  4. Step 4: Simplify right side
    13,614.56x = 220,252,045.38
  5. Step 5: Solve for x
    x = 220,252,045.38/13,614.56
  6. Step 6: Final answer
    x = 16,177.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.