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Finding the Fourth Proportional to 17,097.49, 25,643.67 and 5,409.19

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Solution

The fourth proportional to 17,097.49, 25,643.67 and 5,409.19 is: 8,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.49 : 25,643.67 = 5,409.19 : x
  2. Step 2: Convert to fraction form
    17,097.49/25,643.67 = 5,409.19/x
  3. Step 3: Cross multiply
    17,097.49x = 25,643.67 × 5,409.19
  4. Step 4: Simplify right side
    17,097.49x = 138,711,456.28
  5. Step 5: Solve for x
    x = 138,711,456.28/17,097.49
  6. Step 6: Final answer
    x = 8,112.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.