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Finding the Fourth Proportional to 22,576.81, 33,870.71 and 6,781.81

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Solution

The fourth proportional to 22,576.81, 33,870.71 and 6,781.81 is: 10,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.81 : 33,870.71 = 6,781.81 : x
  2. Step 2: Convert to fraction form
    22,576.81/33,870.71 = 6,781.81/x
  3. Step 3: Cross multiply
    22,576.81x = 33,870.71 × 6,781.81
  4. Step 4: Simplify right side
    22,576.81x = 229,704,685.88
  5. Step 5: Solve for x
    x = 229,704,685.88/22,576.81
  6. Step 6: Final answer
    x = 10,174.36

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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.