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Finding the Fourth Proportional to 21,274.04, 31,907.72 and 8,123.49

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Solution

The fourth proportional to 21,274.04, 31,907.72 and 8,123.49 is: 12,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.04 : 31,907.72 = 8,123.49 : x
  2. Step 2: Convert to fraction form
    21,274.04/31,907.72 = 8,123.49/x
  3. Step 3: Cross multiply
    21,274.04x = 31,907.72 × 8,123.49
  4. Step 4: Simplify right side
    21,274.04x = 259,202,064.65
  5. Step 5: Solve for x
    x = 259,202,064.65/21,274.04
  6. Step 6: Final answer
    x = 12,183.96

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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.