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Finding the Fourth Proportional to 13,083.69, 18,055.11 and 7,418.97

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Solution

The fourth proportional to 13,083.69, 18,055.11 and 7,418.97 is: 10,237.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.69 : 18,055.11 = 7,418.97 : x
  2. Step 2: Convert to fraction form
    13,083.69/18,055.11 = 7,418.97/x
  3. Step 3: Cross multiply
    13,083.69x = 18,055.11 × 7,418.97
  4. Step 4: Simplify right side
    13,083.69x = 133,950,319.44
  5. Step 5: Solve for x
    x = 133,950,319.44/13,083.69
  6. Step 6: Final answer
    x = 10,237.96

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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.