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Finding the Fourth Proportional to 20,366.86, 30,534.64 and 7,716.43

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Solution

The fourth proportional to 20,366.86, 30,534.64 and 7,716.43 is: 11,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,366.86 : 30,534.64 = 7,716.43 : x
  2. Step 2: Convert to fraction form
    20,366.86/30,534.64 = 7,716.43/x
  3. Step 3: Cross multiply
    20,366.86x = 30,534.64 × 7,716.43
  4. Step 4: Simplify right side
    20,366.86x = 235,618,431.01
  5. Step 5: Solve for x
    x = 235,618,431.01/20,366.86
  6. Step 6: Final answer
    x = 11,568.72

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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.