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Finding the Fourth Proportional to 16,413.12, 22,648.32 and 9,338.88

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Solution

The fourth proportional to 16,413.12, 22,648.32 and 9,338.88 is: 12,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.12 : 22,648.32 = 9,338.88 : x
  2. Step 2: Convert to fraction form
    16,413.12/22,648.32 = 9,338.88/x
  3. Step 3: Cross multiply
    16,413.12x = 22,648.32 × 9,338.88
  4. Step 4: Simplify right side
    16,413.12x = 211,509,942.68
  5. Step 5: Solve for x
    x = 211,509,942.68/16,413.12
  6. Step 6: Final answer
    x = 12,886.64

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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.