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Finding the Fourth Proportional to 19,727.20, 29,576.40 and 8,034.40

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Solution

The fourth proportional to 19,727.20, 29,576.40 and 8,034.40 is: 12,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,727.20 : 29,576.40 = 8,034.40 : x
  2. Step 2: Convert to fraction form
    19,727.20/29,576.40 = 8,034.40/x
  3. Step 3: Cross multiply
    19,727.20x = 29,576.40 × 8,034.40
  4. Step 4: Simplify right side
    19,727.20x = 237,628,628.16
  5. Step 5: Solve for x
    x = 237,628,628.16/19,727.20
  6. Step 6: Final answer
    x = 12,045.74

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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.