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Finding the Fourth Proportional to 19,546.38, 29,322 and 6,395.22

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Solution

The fourth proportional to 19,546.38, 29,322 and 6,395.22 is: 9,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.38 : 29,322 = 6,395.22 : x
  2. Step 2: Convert to fraction form
    19,546.38/29,322 = 6,395.22/x
  3. Step 3: Cross multiply
    19,546.38x = 29,322 × 6,395.22
  4. Step 4: Simplify right side
    19,546.38x = 187,520,640.84
  5. Step 5: Solve for x
    x = 187,520,640.84/19,546.38
  6. Step 6: Final answer
    x = 9,593.63

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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.