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Finding the Fourth Proportional to 13,489.72, 18,614.07 and 7,823.26

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Solution

The fourth proportional to 13,489.72, 18,614.07 and 7,823.26 is: 10,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.72 : 18,614.07 = 7,823.26 : x
  2. Step 2: Convert to fraction form
    13,489.72/18,614.07 = 7,823.26/x
  3. Step 3: Cross multiply
    13,489.72x = 18,614.07 × 7,823.26
  4. Step 4: Simplify right side
    13,489.72x = 145,622,709.27
  5. Step 5: Solve for x
    x = 145,622,709.27/13,489.72
  6. Step 6: Final answer
    x = 10,795.09

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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.