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Finding the Fourth Proportional to 17,687.75, 26,525.98 and 5,839.32

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Solution

The fourth proportional to 17,687.75, 26,525.98 and 5,839.32 is: 8,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.75 : 26,525.98 = 5,839.32 : x
  2. Step 2: Convert to fraction form
    17,687.75/26,525.98 = 5,839.32/x
  3. Step 3: Cross multiply
    17,687.75x = 26,525.98 × 5,839.32
  4. Step 4: Simplify right side
    17,687.75x = 154,893,685.53
  5. Step 5: Solve for x
    x = 154,893,685.53/17,687.75
  6. Step 6: Final answer
    x = 8,757.12

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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.