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Finding the Fourth Proportional to 13,532.27, 18,673.97 and 7,866.75

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Solution

The fourth proportional to 13,532.27, 18,673.97 and 7,866.75 is: 10,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.27 : 18,673.97 = 7,866.75 : x
  2. Step 2: Convert to fraction form
    13,532.27/18,673.97 = 7,866.75/x
  3. Step 3: Cross multiply
    13,532.27x = 18,673.97 × 7,866.75
  4. Step 4: Simplify right side
    13,532.27x = 146,903,348.75
  5. Step 5: Solve for x
    x = 146,903,348.75/13,532.27
  6. Step 6: Final answer
    x = 10,855.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.