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Finding the Fourth Proportional to 20,562.97, 30,849.11 and 6,523.85

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Solution

The fourth proportional to 20,562.97, 30,849.11 and 6,523.85 is: 9,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.97 : 30,849.11 = 6,523.85 : x
  2. Step 2: Convert to fraction form
    20,562.97/30,849.11 = 6,523.85/x
  3. Step 3: Cross multiply
    20,562.97x = 30,849.11 × 6,523.85
  4. Step 4: Simplify right side
    20,562.97x = 201,254,933.65
  5. Step 5: Solve for x
    x = 201,254,933.65/20,562.97
  6. Step 6: Final answer
    x = 9,787.25

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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.