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Finding the Fourth Proportional to 22,576.42, 33,862.20 and 6,779.80

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Solution

The fourth proportional to 22,576.42, 33,862.20 and 6,779.80 is: 10,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.42 : 33,862.20 = 6,779.80 : x
  2. Step 2: Convert to fraction form
    22,576.42/33,862.20 = 6,779.80/x
  3. Step 3: Cross multiply
    22,576.42x = 33,862.20 × 6,779.80
  4. Step 4: Simplify right side
    22,576.42x = 229,578,943.56
  5. Step 5: Solve for x
    x = 229,578,943.56/22,576.42
  6. Step 6: Final answer
    x = 10,168.97

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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.