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Finding the Fourth Proportional to 17,568.81, 26,361.87 and 8,209.48

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Solution

The fourth proportional to 17,568.81, 26,361.87 and 8,209.48 is: 12,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.81 : 26,361.87 = 8,209.48 : x
  2. Step 2: Convert to fraction form
    17,568.81/26,361.87 = 8,209.48/x
  3. Step 3: Cross multiply
    17,568.81x = 26,361.87 × 8,209.48
  4. Step 4: Simplify right side
    17,568.81x = 216,417,154.85
  5. Step 5: Solve for x
    x = 216,417,154.85/17,568.81
  6. Step 6: Final answer
    x = 12,318.26

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Why These Related Problems?

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