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Finding the Fourth Proportional to 17,856.24, 26,796.64 and 6,169.48

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Solution

The fourth proportional to 17,856.24, 26,796.64 and 6,169.48 is: 9,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.24 : 26,796.64 = 6,169.48 : x
  2. Step 2: Convert to fraction form
    17,856.24/26,796.64 = 6,169.48/x
  3. Step 3: Cross multiply
    17,856.24x = 26,796.64 × 6,169.48
  4. Step 4: Simplify right side
    17,856.24x = 165,321,334.55
  5. Step 5: Solve for x
    x = 165,321,334.55/17,856.24
  6. Step 6: Final answer
    x = 9,258.46

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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.