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Finding the Fourth Proportional to 13,412.70, 18,515.13 and 8,106.18

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Solution

The fourth proportional to 13,412.70, 18,515.13 and 8,106.18 is: 11,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.70 : 18,515.13 = 8,106.18 : x
  2. Step 2: Convert to fraction form
    13,412.70/18,515.13 = 8,106.18/x
  3. Step 3: Cross multiply
    13,412.70x = 18,515.13 × 8,106.18
  4. Step 4: Simplify right side
    13,412.70x = 150,086,976.50
  5. Step 5: Solve for x
    x = 150,086,976.50/13,412.70
  6. Step 6: Final answer
    x = 11,189.92

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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.