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Finding the Fourth Proportional to 17,287.69, 23,858.91 and 9,735.82

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Solution

The fourth proportional to 17,287.69, 23,858.91 and 9,735.82 is: 13,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.69 : 23,858.91 = 9,735.82 : x
  2. Step 2: Convert to fraction form
    17,287.69/23,858.91 = 9,735.82/x
  3. Step 3: Cross multiply
    17,287.69x = 23,858.91 × 9,735.82
  4. Step 4: Simplify right side
    17,287.69x = 232,286,053.16
  5. Step 5: Solve for x
    x = 232,286,053.16/17,287.69
  6. Step 6: Final answer
    x = 13,436.50

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