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Finding the Fourth Proportional to 17,238.38, 23,788.98 and 9,786.38

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Solution

The fourth proportional to 17,238.38, 23,788.98 and 9,786.38 is: 13,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.38 : 23,788.98 = 9,786.38 : x
  2. Step 2: Convert to fraction form
    17,238.38/23,788.98 = 9,786.38/x
  3. Step 3: Cross multiply
    17,238.38x = 23,788.98 × 9,786.38
  4. Step 4: Simplify right side
    17,238.38x = 232,807,879.15
  5. Step 5: Solve for x
    x = 232,807,879.15/17,238.38
  6. Step 6: Final answer
    x = 13,505.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.