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Finding the Fourth Proportional to 12,346.96, 18,522.26 and 3,580.73

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Solution

The fourth proportional to 12,346.96, 18,522.26 and 3,580.73 is: 5,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.96 : 18,522.26 = 3,580.73 : x
  2. Step 2: Convert to fraction form
    12,346.96/18,522.26 = 3,580.73/x
  3. Step 3: Cross multiply
    12,346.96x = 18,522.26 × 3,580.73
  4. Step 4: Simplify right side
    12,346.96x = 66,323,194.15
  5. Step 5: Solve for x
    x = 66,323,194.15/12,346.96
  6. Step 6: Final answer
    x = 5,371.62

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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.