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Finding the Fourth Proportional to 13,412.67, 18,506.79 and 8,107.80

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Solution

The fourth proportional to 13,412.67, 18,506.79 and 8,107.80 is: 11,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.67 : 18,506.79 = 8,107.80 : x
  2. Step 2: Convert to fraction form
    13,412.67/18,506.79 = 8,107.80/x
  3. Step 3: Cross multiply
    13,412.67x = 18,506.79 × 8,107.80
  4. Step 4: Simplify right side
    13,412.67x = 150,049,351.96
  5. Step 5: Solve for x
    x = 150,049,351.96/13,412.67
  6. Step 6: Final answer
    x = 11,187.14

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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.