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Finding the Fourth Proportional to 19,709.19, 29,576.07 and 8,022.38

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Solution

The fourth proportional to 19,709.19, 29,576.07 and 8,022.38 is: 12,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.19 : 29,576.07 = 8,022.38 : x
  2. Step 2: Convert to fraction form
    19,709.19/29,576.07 = 8,022.38/x
  3. Step 3: Cross multiply
    19,709.19x = 29,576.07 × 8,022.38
  4. Step 4: Simplify right side
    19,709.19x = 237,270,324.57
  5. Step 5: Solve for x
    x = 237,270,324.57/19,709.19
  6. Step 6: Final answer
    x = 12,038.56

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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.