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Finding the Fourth Proportional to 17,208, 25,812.96 and 4,896.96

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Solution

The fourth proportional to 17,208, 25,812.96 and 4,896.96 is: 7,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,208 : 25,812.96 = 4,896.96 : x
  2. Step 2: Convert to fraction form
    17,208/25,812.96 = 4,896.96/x
  3. Step 3: Cross multiply
    17,208x = 25,812.96 × 4,896.96
  4. Step 4: Simplify right side
    17,208x = 126,405,032.60
  5. Step 5: Solve for x
    x = 126,405,032.60/17,208
  6. Step 6: Final answer
    x = 7,345.71

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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.