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Finding the Fourth Proportional to 17,400, 26,104.50 and 5,713.32

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Solution

The fourth proportional to 17,400, 26,104.50 and 5,713.32 is: 8,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,400 : 26,104.50 = 5,713.32 : x
  2. Step 2: Convert to fraction form
    17,400/26,104.50 = 5,713.32/x
  3. Step 3: Cross multiply
    17,400x = 26,104.50 × 5,713.32
  4. Step 4: Simplify right side
    17,400x = 149,143,361.94
  5. Step 5: Solve for x
    x = 149,143,361.94/17,400
  6. Step 6: Final answer
    x = 8,571.46

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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.