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Finding the Fourth Proportional to 19,619.28, 29,433.24 and 6,471.09

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Solution

The fourth proportional to 19,619.28, 29,433.24 and 6,471.09 is: 9,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619.28 : 29,433.24 = 6,471.09 : x
  2. Step 2: Convert to fraction form
    19,619.28/29,433.24 = 6,471.09/x
  3. Step 3: Cross multiply
    19,619.28x = 29,433.24 × 6,471.09
  4. Step 4: Simplify right side
    19,619.28x = 190,465,145.03
  5. Step 5: Solve for x
    x = 190,465,145.03/19,619.28
  6. Step 6: Final answer
    x = 9,708.06

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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.