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Finding the Fourth Proportional to 13,614.17, 18,786.89 and 7,646.09

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Solution

The fourth proportional to 13,614.17, 18,786.89 and 7,646.09 is: 10,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.17 : 18,786.89 = 7,646.09 : x
  2. Step 2: Convert to fraction form
    13,614.17/18,786.89 = 7,646.09/x
  3. Step 3: Cross multiply
    13,614.17x = 18,786.89 × 7,646.09
  4. Step 4: Simplify right side
    13,614.17x = 143,646,213.53
  5. Step 5: Solve for x
    x = 143,646,213.53/13,614.17
  6. Step 6: Final answer
    x = 10,551.23

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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.