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Finding the Fourth Proportional to 13,919.64, 19,209.18 and 7,546.28

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Solution

The fourth proportional to 13,919.64, 19,209.18 and 7,546.28 is: 10,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.64 : 19,209.18 = 7,546.28 : x
  2. Step 2: Convert to fraction form
    13,919.64/19,209.18 = 7,546.28/x
  3. Step 3: Cross multiply
    13,919.64x = 19,209.18 × 7,546.28
  4. Step 4: Simplify right side
    13,919.64x = 144,957,850.85
  5. Step 5: Solve for x
    x = 144,957,850.85/13,919.64
  6. Step 6: Final answer
    x = 10,413.91

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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.