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Finding the Fourth Proportional to 13,716.80, 20,563.18 and 6,597.47

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Solution

The fourth proportional to 13,716.80, 20,563.18 and 6,597.47 is: 9,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.80 : 20,563.18 = 6,597.47 : x
  2. Step 2: Convert to fraction form
    13,716.80/20,563.18 = 6,597.47/x
  3. Step 3: Cross multiply
    13,716.80x = 20,563.18 × 6,597.47
  4. Step 4: Simplify right side
    13,716.80x = 135,664,998.07
  5. Step 5: Solve for x
    x = 135,664,998.07/13,716.80
  6. Step 6: Final answer
    x = 9,890.43

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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.