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Finding the Fourth Proportional to 20,847.28, 31,253.64 and 7,697.20

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Solution

The fourth proportional to 20,847.28, 31,253.64 and 7,697.20 is: 11,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.28 : 31,253.64 = 7,697.20 : x
  2. Step 2: Convert to fraction form
    20,847.28/31,253.64 = 7,697.20/x
  3. Step 3: Cross multiply
    20,847.28x = 31,253.64 × 7,697.20
  4. Step 4: Simplify right side
    20,847.28x = 240,565,517.81
  5. Step 5: Solve for x
    x = 240,565,517.81/20,847.28
  6. Step 6: Final answer
    x = 11,539.42

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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.