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Finding the Fourth Proportional to 12,302.60, 18,449.92 and 3,980.84

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Solution

The fourth proportional to 12,302.60, 18,449.92 and 3,980.84 is: 5,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.60 : 18,449.92 = 3,980.84 : x
  2. Step 2: Convert to fraction form
    12,302.60/18,449.92 = 3,980.84/x
  3. Step 3: Cross multiply
    12,302.60x = 18,449.92 × 3,980.84
  4. Step 4: Simplify right side
    12,302.60x = 73,446,179.53
  5. Step 5: Solve for x
    x = 73,446,179.53/12,302.60
  6. Step 6: Final answer
    x = 5,969.97

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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.