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Finding the Fourth Proportional to 34,576.40, 51,872.84 and 11,202.80

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Solution

The fourth proportional to 34,576.40, 51,872.84 and 11,202.80 is: 16,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,576.40 : 51,872.84 = 11,202.80 : x
  2. Step 2: Convert to fraction form
    34,576.40/51,872.84 = 11,202.80/x
  3. Step 3: Cross multiply
    34,576.40x = 51,872.84 × 11,202.80
  4. Step 4: Simplify right side
    34,576.40x = 581,121,051.95
  5. Step 5: Solve for x
    x = 581,121,051.95/34,576.40
  6. Step 6: Final answer
    x = 16,806.87

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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.