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Finding the Fourth Proportional to 22,298.64, 30,769.11 and 13,344.09

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Solution

The fourth proportional to 22,298.64, 30,769.11 and 13,344.09 is: 18,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.64 : 30,769.11 = 13,344.09 : x
  2. Step 2: Convert to fraction form
    22,298.64/30,769.11 = 13,344.09/x
  3. Step 3: Cross multiply
    22,298.64x = 30,769.11 × 13,344.09
  4. Step 4: Simplify right side
    22,298.64x = 410,585,773.06
  5. Step 5: Solve for x
    x = 410,585,773.06/22,298.64
  6. Step 6: Final answer
    x = 18,413.04

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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.