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Finding the Fourth Proportional to 12,413.52, 18,717.78 and 11,380.32

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Solution

The fourth proportional to 12,413.52, 18,717.78 and 11,380.32 is: 17,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.52 : 18,717.78 = 11,380.32 : x
  2. Step 2: Convert to fraction form
    12,413.52/18,717.78 = 11,380.32/x
  3. Step 3: Cross multiply
    12,413.52x = 18,717.78 × 11,380.32
  4. Step 4: Simplify right side
    12,413.52x = 213,014,326.09
  5. Step 5: Solve for x
    x = 213,014,326.09/12,413.52
  6. Step 6: Final answer
    x = 17,159.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.