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Finding the Fourth Proportional to 29,856.32, 41,198.64 and 17,278.64

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Solution

The fourth proportional to 29,856.32, 41,198.64 and 17,278.64 is: 23,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.32 : 41,198.64 = 17,278.64 : x
  2. Step 2: Convert to fraction form
    29,856.32/41,198.64 = 17,278.64/x
  3. Step 3: Cross multiply
    29,856.32x = 41,198.64 × 17,278.64
  4. Step 4: Simplify right side
    29,856.32x = 711,856,469.05
  5. Step 5: Solve for x
    x = 711,856,469.05/29,856.32
  6. Step 6: Final answer
    x = 23,842.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.