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Finding the Fourth Proportional to 13,586.81, 20,380.28 and 6,186.09

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Solution

The fourth proportional to 13,586.81, 20,380.28 and 6,186.09 is: 9,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.81 : 20,380.28 = 6,186.09 : x
  2. Step 2: Convert to fraction form
    13,586.81/20,380.28 = 6,186.09/x
  3. Step 3: Cross multiply
    13,586.81x = 20,380.28 × 6,186.09
  4. Step 4: Simplify right side
    13,586.81x = 126,074,246.31
  5. Step 5: Solve for x
    x = 126,074,246.31/13,586.81
  6. Step 6: Final answer
    x = 9,279.16

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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.