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Finding the Fourth Proportional to 13,614.01, 18,789.42 and 8,311.93

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Solution

The fourth proportional to 13,614.01, 18,789.42 and 8,311.93 is: 11,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.01 : 18,789.42 = 8,311.93 : x
  2. Step 2: Convert to fraction form
    13,614.01/18,789.42 = 8,311.93/x
  3. Step 3: Cross multiply
    13,614.01x = 18,789.42 × 8,311.93
  4. Step 4: Simplify right side
    13,614.01x = 156,176,343.78
  5. Step 5: Solve for x
    x = 156,176,343.78/13,614.01
  6. Step 6: Final answer
    x = 11,471.74

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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.