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Finding the Fourth Proportional to 12,446.75, 17,178.89 and 7,413.92

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Solution

The fourth proportional to 12,446.75, 17,178.89 and 7,413.92 is: 10,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.75 : 17,178.89 = 7,413.92 : x
  2. Step 2: Convert to fraction form
    12,446.75/17,178.89 = 7,413.92/x
  3. Step 3: Cross multiply
    12,446.75x = 17,178.89 × 7,413.92
  4. Step 4: Simplify right side
    12,446.75x = 127,362,793.18
  5. Step 5: Solve for x
    x = 127,362,793.18/12,446.75
  6. Step 6: Final answer
    x = 10,232.61

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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.