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Finding the Fourth Proportional to 13,509.97, 18,640.13 and 8,058.26

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Solution

The fourth proportional to 13,509.97, 18,640.13 and 8,058.26 is: 11,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.97 : 18,640.13 = 8,058.26 : x
  2. Step 2: Convert to fraction form
    13,509.97/18,640.13 = 8,058.26/x
  3. Step 3: Cross multiply
    13,509.97x = 18,640.13 × 8,058.26
  4. Step 4: Simplify right side
    13,509.97x = 150,207,020.28
  5. Step 5: Solve for x
    x = 150,207,020.28/13,509.97
  6. Step 6: Final answer
    x = 11,118.24

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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.