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Finding the Fourth Proportional to 19,772.27, 29,658.41 and 5,732.31

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Solution

The fourth proportional to 19,772.27, 29,658.41 and 5,732.31 is: 8,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.27 : 29,658.41 = 5,732.31 : x
  2. Step 2: Convert to fraction form
    19,772.27/29,658.41 = 5,732.31/x
  3. Step 3: Cross multiply
    19,772.27x = 29,658.41 × 5,732.31
  4. Step 4: Simplify right side
    19,772.27x = 170,011,171.57
  5. Step 5: Solve for x
    x = 170,011,171.57/19,772.27
  6. Step 6: Final answer
    x = 8,598.47

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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.