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Finding the Fourth Proportional to 12,609.55, 18,896.50 and 5,209.39

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Solution

The fourth proportional to 12,609.55, 18,896.50 and 5,209.39 is: 7,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.55 : 18,896.50 = 5,209.39 : x
  2. Step 2: Convert to fraction form
    12,609.55/18,896.50 = 5,209.39/x
  3. Step 3: Cross multiply
    12,609.55x = 18,896.50 × 5,209.39
  4. Step 4: Simplify right side
    12,609.55x = 98,439,238.14
  5. Step 5: Solve for x
    x = 98,439,238.14/12,609.55
  6. Step 6: Final answer
    x = 7,806.72

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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.