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Finding the Fourth Proportional to 13,213.80, 18,244.61 and 8,506.28

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Solution

The fourth proportional to 13,213.80, 18,244.61 and 8,506.28 is: 11,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.80 : 18,244.61 = 8,506.28 : x
  2. Step 2: Convert to fraction form
    13,213.80/18,244.61 = 8,506.28/x
  3. Step 3: Cross multiply
    13,213.80x = 18,244.61 × 8,506.28
  4. Step 4: Simplify right side
    13,213.80x = 155,193,739.89
  5. Step 5: Solve for x
    x = 155,193,739.89/13,213.80
  6. Step 6: Final answer
    x = 11,744.83

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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.