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Finding the Fourth Proportional to 13,381.67, 18,466.92 and 7,413.59

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Solution

The fourth proportional to 13,381.67, 18,466.92 and 7,413.59 is: 10,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.67 : 18,466.92 = 7,413.59 : x
  2. Step 2: Convert to fraction form
    13,381.67/18,466.92 = 7,413.59/x
  3. Step 3: Cross multiply
    13,381.67x = 18,466.92 × 7,413.59
  4. Step 4: Simplify right side
    13,381.67x = 136,906,219.61
  5. Step 5: Solve for x
    x = 136,906,219.61/13,381.67
  6. Step 6: Final answer
    x = 10,230.88

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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.