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Finding the Fourth Proportional to 13,684.69, 20,527.04 and 3,296.44

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Solution

The fourth proportional to 13,684.69, 20,527.04 and 3,296.44 is: 4,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.69 : 20,527.04 = 3,296.44 : x
  2. Step 2: Convert to fraction form
    13,684.69/20,527.04 = 3,296.44/x
  3. Step 3: Cross multiply
    13,684.69x = 20,527.04 × 3,296.44
  4. Step 4: Simplify right side
    13,684.69x = 67,666,087.94
  5. Step 5: Solve for x
    x = 67,666,087.94/13,684.69
  6. Step 6: Final answer
    x = 4,944.66

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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.