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Finding the Fourth Proportional to 20,907.65, 31,324.12 and 11,024.84

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Solution

The fourth proportional to 20,907.65, 31,324.12 and 11,024.84 is: 16,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.65 : 31,324.12 = 11,024.84 : x
  2. Step 2: Convert to fraction form
    20,907.65/31,324.12 = 11,024.84/x
  3. Step 3: Cross multiply
    20,907.65x = 31,324.12 × 11,024.84
  4. Step 4: Simplify right side
    20,907.65x = 345,343,461.89
  5. Step 5: Solve for x
    x = 345,343,461.89/20,907.65
  6. Step 6: Final answer
    x = 16,517.56

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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.