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Finding the Fourth Proportional to 17,238.52, 25,856.34 and 6,847.48

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Solution

The fourth proportional to 17,238.52, 25,856.34 and 6,847.48 is: 10,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.52 : 25,856.34 = 6,847.48 : x
  2. Step 2: Convert to fraction form
    17,238.52/25,856.34 = 6,847.48/x
  3. Step 3: Cross multiply
    17,238.52x = 25,856.34 × 6,847.48
  4. Step 4: Simplify right side
    17,238.52x = 177,050,771.02
  5. Step 5: Solve for x
    x = 177,050,771.02/17,238.52
  6. Step 6: Final answer
    x = 10,270.65

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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.