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Finding the Fourth Proportional to 13,381.40, 18,467.46 and 7,413.63

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Solution

The fourth proportional to 13,381.40, 18,467.46 and 7,413.63 is: 10,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.40 : 18,467.46 = 7,413.63 : x
  2. Step 2: Convert to fraction form
    13,381.40/18,467.46 = 7,413.63/x
  3. Step 3: Cross multiply
    13,381.40x = 18,467.46 × 7,413.63
  4. Step 4: Simplify right side
    13,381.40x = 136,910,846.23
  5. Step 5: Solve for x
    x = 136,910,846.23/13,381.40
  6. Step 6: Final answer
    x = 10,231.43

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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.