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Finding the Fourth Proportional to 20,571.02, 30,857.62 and 6,532.14

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Solution

The fourth proportional to 20,571.02, 30,857.62 and 6,532.14 is: 9,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.02 : 30,857.62 = 6,532.14 : x
  2. Step 2: Convert to fraction form
    20,571.02/30,857.62 = 6,532.14/x
  3. Step 3: Cross multiply
    20,571.02x = 30,857.62 × 6,532.14
  4. Step 4: Simplify right side
    20,571.02x = 201,566,293.91
  5. Step 5: Solve for x
    x = 201,566,293.91/20,571.02
  6. Step 6: Final answer
    x = 9,798.56

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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.