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Finding the Fourth Proportional to 19,604.28, 29,410.74 and 6,456.09

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Solution

The fourth proportional to 19,604.28, 29,410.74 and 6,456.09 is: 9,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.28 : 29,410.74 = 6,456.09 : x
  2. Step 2: Convert to fraction form
    19,604.28/29,410.74 = 6,456.09/x
  3. Step 3: Cross multiply
    19,604.28x = 29,410.74 × 6,456.09
  4. Step 4: Simplify right side
    19,604.28x = 189,878,384.41
  5. Step 5: Solve for x
    x = 189,878,384.41/19,604.28
  6. Step 6: Final answer
    x = 9,685.56

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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.