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Finding the Fourth Proportional to 20,517.39, 30,776.72 and 6,477.54

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Solution

The fourth proportional to 20,517.39, 30,776.72 and 6,477.54 is: 9,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.39 : 30,776.72 = 6,477.54 : x
  2. Step 2: Convert to fraction form
    20,517.39/30,776.72 = 6,477.54/x
  3. Step 3: Cross multiply
    20,517.39x = 30,776.72 × 6,477.54
  4. Step 4: Simplify right side
    20,517.39x = 199,357,402.48
  5. Step 5: Solve for x
    x = 199,357,402.48/20,517.39
  6. Step 6: Final answer
    x = 9,716.51

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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.