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Finding the Fourth Proportional to 13,382.16, 18,465.48 and 7,413.78

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Solution

The fourth proportional to 13,382.16, 18,465.48 and 7,413.78 is: 10,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.16 : 18,465.48 = 7,413.78 : x
  2. Step 2: Convert to fraction form
    13,382.16/18,465.48 = 7,413.78/x
  3. Step 3: Cross multiply
    13,382.16x = 18,465.48 × 7,413.78
  4. Step 4: Simplify right side
    13,382.16x = 136,899,006.31
  5. Step 5: Solve for x
    x = 136,899,006.31/13,382.16
  6. Step 6: Final answer
    x = 10,229.96

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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.