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Finding the Fourth Proportional to 23,486.97, 32,408.49 and 13,413.26

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Solution

The fourth proportional to 23,486.97, 32,408.49 and 13,413.26 is: 18,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.97 : 32,408.49 = 13,413.26 : x
  2. Step 2: Convert to fraction form
    23,486.97/32,408.49 = 13,413.26/x
  3. Step 3: Cross multiply
    23,486.97x = 32,408.49 × 13,413.26
  4. Step 4: Simplify right side
    23,486.97x = 434,703,435.51
  5. Step 5: Solve for x
    x = 434,703,435.51/23,486.97
  6. Step 6: Final answer
    x = 18,508.28

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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.