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Finding the Fourth Proportional to 17,086.54, 25,638 and 9,295.34

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Solution

The fourth proportional to 17,086.54, 25,638 and 9,295.34 is: 13,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086.54 : 25,638 = 9,295.34 : x
  2. Step 2: Convert to fraction form
    17,086.54/25,638 = 9,295.34/x
  3. Step 3: Cross multiply
    17,086.54x = 25,638 × 9,295.34
  4. Step 4: Simplify right side
    17,086.54x = 238,313,926.92
  5. Step 5: Solve for x
    x = 238,313,926.92/17,086.54
  6. Step 6: Final answer
    x = 13,947.47

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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.