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Finding the Fourth Proportional to 17,382.38, 23,986.73 and 9,828.25

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Solution

The fourth proportional to 17,382.38, 23,986.73 and 9,828.25 is: 13,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.38 : 23,986.73 = 9,828.25 : x
  2. Step 2: Convert to fraction form
    17,382.38/23,986.73 = 9,828.25/x
  3. Step 3: Cross multiply
    17,382.38x = 23,986.73 × 9,828.25
  4. Step 4: Simplify right side
    17,382.38x = 235,747,543.73
  5. Step 5: Solve for x
    x = 235,747,543.73/17,382.38
  6. Step 6: Final answer
    x = 13,562.45

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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.