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Finding the Fourth Proportional to 13,381.90, 18,467 and 7,413.56

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Solution

The fourth proportional to 13,381.90, 18,467 and 7,413.56 is: 10,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.90 : 18,467 = 7,413.56 : x
  2. Step 2: Convert to fraction form
    13,381.90/18,467 = 7,413.56/x
  3. Step 3: Cross multiply
    13,381.90x = 18,467 × 7,413.56
  4. Step 4: Simplify right side
    13,381.90x = 136,906,212.52
  5. Step 5: Solve for x
    x = 136,906,212.52/13,381.90
  6. Step 6: Final answer
    x = 10,230.70

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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.