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Finding the Fourth Proportional to 12,346.67, 18,516.16 and 4,136.75

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Solution

The fourth proportional to 12,346.67, 18,516.16 and 4,136.75 is: 6,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.67 : 18,516.16 = 4,136.75 : x
  2. Step 2: Convert to fraction form
    12,346.67/18,516.16 = 4,136.75/x
  3. Step 3: Cross multiply
    12,346.67x = 18,516.16 × 4,136.75
  4. Step 4: Simplify right side
    12,346.67x = 76,596,724.88
  5. Step 5: Solve for x
    x = 76,596,724.88/12,346.67
  6. Step 6: Final answer
    x = 6,203.84

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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.