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Finding the Fourth Proportional to 19,772.67, 29,660.58 and 5,732.94

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Solution

The fourth proportional to 19,772.67, 29,660.58 and 5,732.94 is: 8,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.67 : 29,660.58 = 5,732.94 : x
  2. Step 2: Convert to fraction form
    19,772.67/29,660.58 = 5,732.94/x
  3. Step 3: Cross multiply
    19,772.67x = 29,660.58 × 5,732.94
  4. Step 4: Simplify right side
    19,772.67x = 170,042,325.51
  5. Step 5: Solve for x
    x = 170,042,325.51/19,772.67
  6. Step 6: Final answer
    x = 8,599.87

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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.