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Finding the Fourth Proportional to 13,381.72, 18,466.94 and 7,413.50

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Solution

The fourth proportional to 13,381.72, 18,466.94 and 7,413.50 is: 10,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.72 : 18,466.94 = 7,413.50 : x
  2. Step 2: Convert to fraction form
    13,381.72/18,466.94 = 7,413.50/x
  3. Step 3: Cross multiply
    13,381.72x = 18,466.94 × 7,413.50
  4. Step 4: Simplify right side
    13,381.72x = 136,904,659.69
  5. Step 5: Solve for x
    x = 136,904,659.69/13,381.72
  6. Step 6: Final answer
    x = 10,230.72

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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.