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Finding the Fourth Proportional to 13,923.36, 20,886.36 and 5,156.16

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Solution

The fourth proportional to 13,923.36, 20,886.36 and 5,156.16 is: 7,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.36 : 20,886.36 = 5,156.16 : x
  2. Step 2: Convert to fraction form
    13,923.36/20,886.36 = 5,156.16/x
  3. Step 3: Cross multiply
    13,923.36x = 20,886.36 × 5,156.16
  4. Step 4: Simplify right side
    13,923.36x = 107,693,413.98
  5. Step 5: Solve for x
    x = 107,693,413.98/13,923.36
  6. Step 6: Final answer
    x = 7,734.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.