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Finding the Fourth Proportional to 16,238.44, 22,413.72 and 9,524.35

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Solution

The fourth proportional to 16,238.44, 22,413.72 and 9,524.35 is: 13,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.44 : 22,413.72 = 9,524.35 : x
  2. Step 2: Convert to fraction form
    16,238.44/22,413.72 = 9,524.35/x
  3. Step 3: Cross multiply
    16,238.44x = 22,413.72 × 9,524.35
  4. Step 4: Simplify right side
    16,238.44x = 213,476,114.08
  5. Step 5: Solve for x
    x = 213,476,114.08/16,238.44
  6. Step 6: Final answer
    x = 13,146.34

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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.