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Finding the Fourth Proportional to 12,126, 18,179.16 and 5,457.60

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Solution

The fourth proportional to 12,126, 18,179.16 and 5,457.60 is: 8,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126 : 18,179.16 = 5,457.60 : x
  2. Step 2: Convert to fraction form
    12,126/18,179.16 = 5,457.60/x
  3. Step 3: Cross multiply
    12,126x = 18,179.16 × 5,457.60
  4. Step 4: Simplify right side
    12,126x = 99,214,583.62
  5. Step 5: Solve for x
    x = 99,214,583.62/12,126
  6. Step 6: Final answer
    x = 8,181.97

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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.