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Finding the Fourth Proportional to 13,513.96, 18,646.26 and 7,845.44

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Solution

The fourth proportional to 13,513.96, 18,646.26 and 7,845.44 is: 10,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.96 : 18,646.26 = 7,845.44 : x
  2. Step 2: Convert to fraction form
    13,513.96/18,646.26 = 7,845.44/x
  3. Step 3: Cross multiply
    13,513.96x = 18,646.26 × 7,845.44
  4. Step 4: Simplify right side
    13,513.96x = 146,288,114.05
  5. Step 5: Solve for x
    x = 146,288,114.05/13,513.96
  6. Step 6: Final answer
    x = 10,824.97

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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.