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Finding the Fourth Proportional to 20,575.80, 30,855.78 and 6,532.92

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Solution

The fourth proportional to 20,575.80, 30,855.78 and 6,532.92 is: 9,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.80 : 30,855.78 = 6,532.92 : x
  2. Step 2: Convert to fraction form
    20,575.80/30,855.78 = 6,532.92/x
  3. Step 3: Cross multiply
    20,575.80x = 30,855.78 × 6,532.92
  4. Step 4: Simplify right side
    20,575.80x = 201,578,342.28
  5. Step 5: Solve for x
    x = 201,578,342.28/20,575.80
  6. Step 6: Final answer
    x = 9,796.87

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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.