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Finding the Fourth Proportional to 19,561.28, 29,321.04 and 6,410.12

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Solution

The fourth proportional to 19,561.28, 29,321.04 and 6,410.12 is: 9,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.28 : 29,321.04 = 6,410.12 : x
  2. Step 2: Convert to fraction form
    19,561.28/29,321.04 = 6,410.12/x
  3. Step 3: Cross multiply
    19,561.28x = 29,321.04 × 6,410.12
  4. Step 4: Simplify right side
    19,561.28x = 187,951,384.92
  5. Step 5: Solve for x
    x = 187,951,384.92/19,561.28
  6. Step 6: Final answer
    x = 9,608.34

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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.