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Finding the Fourth Proportional to 38,409.68, 57,620.60 and 13,449.12

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Solution

The fourth proportional to 38,409.68, 57,620.60 and 13,449.12 is: 20,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.68 : 57,620.60 = 13,449.12 : x
  2. Step 2: Convert to fraction form
    38,409.68/57,620.60 = 13,449.12/x
  3. Step 3: Cross multiply
    38,409.68x = 57,620.60 × 13,449.12
  4. Step 4: Simplify right side
    38,409.68x = 774,946,296.63
  5. Step 5: Solve for x
    x = 774,946,296.63/38,409.68
  6. Step 6: Final answer
    x = 20,175.81

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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.