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Finding the Fourth Proportional to 13,614.26, 18,786.29 and 7,645.91

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Solution

The fourth proportional to 13,614.26, 18,786.29 and 7,645.91 is: 10,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.26 : 18,786.29 = 7,645.91 : x
  2. Step 2: Convert to fraction form
    13,614.26/18,786.29 = 7,645.91/x
  3. Step 3: Cross multiply
    13,614.26x = 18,786.29 × 7,645.91
  4. Step 4: Simplify right side
    13,614.26x = 143,638,150.41
  5. Step 5: Solve for x
    x = 143,638,150.41/13,614.26
  6. Step 6: Final answer
    x = 10,550.57

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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.