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Finding the Fourth Proportional to 13,513.43, 18,645.09 and 8,208.34

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Solution

The fourth proportional to 13,513.43, 18,645.09 and 8,208.34 is: 11,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.43 : 18,645.09 = 8,208.34 : x
  2. Step 2: Convert to fraction form
    13,513.43/18,645.09 = 8,208.34/x
  3. Step 3: Cross multiply
    13,513.43x = 18,645.09 × 8,208.34
  4. Step 4: Simplify right side
    13,513.43x = 153,045,160.66
  5. Step 5: Solve for x
    x = 153,045,160.66/13,513.43
  6. Step 6: Final answer
    x = 11,325.41

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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.