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Finding the Fourth Proportional to 17,568.80, 26,361.85 and 8,209.46

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Solution

The fourth proportional to 17,568.80, 26,361.85 and 8,209.46 is: 12,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.80 : 26,361.85 = 8,209.46 : x
  2. Step 2: Convert to fraction form
    17,568.80/26,361.85 = 8,209.46/x
  3. Step 3: Cross multiply
    17,568.80x = 26,361.85 × 8,209.46
  4. Step 4: Simplify right side
    17,568.80x = 216,416,552.09
  5. Step 5: Solve for x
    x = 216,416,552.09/17,568.80
  6. Step 6: Final answer
    x = 12,318.24

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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.