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Finding the Fourth Proportional to 38,391.84, 57,604.44 and 13,449.80

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Solution

The fourth proportional to 38,391.84, 57,604.44 and 13,449.80 is: 20,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,391.84 : 57,604.44 = 13,449.80 : x
  2. Step 2: Convert to fraction form
    38,391.84/57,604.44 = 13,449.80/x
  3. Step 3: Cross multiply
    38,391.84x = 57,604.44 × 13,449.80
  4. Step 4: Simplify right side
    38,391.84x = 774,768,197.11
  5. Step 5: Solve for x
    x = 774,768,197.11/38,391.84
  6. Step 6: Final answer
    x = 20,180.54

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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.