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Finding the Fourth Proportional to 12,278.38, 18,413.28 and 3,510.94

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Solution

The fourth proportional to 12,278.38, 18,413.28 and 3,510.94 is: 5,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.38 : 18,413.28 = 3,510.94 : x
  2. Step 2: Convert to fraction form
    12,278.38/18,413.28 = 3,510.94/x
  3. Step 3: Cross multiply
    12,278.38x = 18,413.28 × 3,510.94
  4. Step 4: Simplify right side
    12,278.38x = 64,647,921.28
  5. Step 5: Solve for x
    x = 64,647,921.28/12,278.38
  6. Step 6: Final answer
    x = 5,265.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.