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Finding the Fourth Proportional to 18,525.96, 27,767.82 and 9,616.20

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Solution

The fourth proportional to 18,525.96, 27,767.82 and 9,616.20 is: 14,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,525.96 : 27,767.82 = 9,616.20 : x
  2. Step 2: Convert to fraction form
    18,525.96/27,767.82 = 9,616.20/x
  3. Step 3: Cross multiply
    18,525.96x = 27,767.82 × 9,616.20
  4. Step 4: Simplify right side
    18,525.96x = 267,020,910.68
  5. Step 5: Solve for x
    x = 267,020,910.68/18,525.96
  6. Step 6: Final answer
    x = 14,413.34

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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.