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Finding the Fourth Proportional to 13,728.28, 18,924.06 and 8,413.24

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Solution

The fourth proportional to 13,728.28, 18,924.06 and 8,413.24 is: 11,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.28 : 18,924.06 = 8,413.24 : x
  2. Step 2: Convert to fraction form
    13,728.28/18,924.06 = 8,413.24/x
  3. Step 3: Cross multiply
    13,728.28x = 18,924.06 × 8,413.24
  4. Step 4: Simplify right side
    13,728.28x = 159,212,658.55
  5. Step 5: Solve for x
    x = 159,212,658.55/13,728.28
  6. Step 6: Final answer
    x = 11,597.42

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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.