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Finding the Fourth Proportional to 14,611.78, 20,164.08 and 8,324.14

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Solution

The fourth proportional to 14,611.78, 20,164.08 and 8,324.14 is: 11,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.78 : 20,164.08 = 8,324.14 : x
  2. Step 2: Convert to fraction form
    14,611.78/20,164.08 = 8,324.14/x
  3. Step 3: Cross multiply
    14,611.78x = 20,164.08 × 8,324.14
  4. Step 4: Simplify right side
    14,611.78x = 167,848,624.89
  5. Step 5: Solve for x
    x = 167,848,624.89/14,611.78
  6. Step 6: Final answer
    x = 11,487.21

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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.