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Finding the Fourth Proportional to 17,687.70, 26,535.42 and 5,840.96

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Solution

The fourth proportional to 17,687.70, 26,535.42 and 5,840.96 is: 8,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.70 : 26,535.42 = 5,840.96 : x
  2. Step 2: Convert to fraction form
    17,687.70/26,535.42 = 5,840.96/x
  3. Step 3: Cross multiply
    17,687.70x = 26,535.42 × 5,840.96
  4. Step 4: Simplify right side
    17,687.70x = 154,992,194.13
  5. Step 5: Solve for x
    x = 154,992,194.13/17,687.70
  6. Step 6: Final answer
    x = 8,762.71

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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.