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Finding the Fourth Proportional to 17,274.32, 25,912.08 and 6,181.76

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Solution

The fourth proportional to 17,274.32, 25,912.08 and 6,181.76 is: 9,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.32 : 25,912.08 = 6,181.76 : x
  2. Step 2: Convert to fraction form
    17,274.32/25,912.08 = 6,181.76/x
  3. Step 3: Cross multiply
    17,274.32x = 25,912.08 × 6,181.76
  4. Step 4: Simplify right side
    17,274.32x = 160,182,259.66
  5. Step 5: Solve for x
    x = 160,182,259.66/17,274.32
  6. Step 6: Final answer
    x = 9,272.85

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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.