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Finding the Fourth Proportional to 13,028.54, 19,542.81 and 3,167.82

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Solution

The fourth proportional to 13,028.54, 19,542.81 and 3,167.82 is: 4,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.54 : 19,542.81 = 3,167.82 : x
  2. Step 2: Convert to fraction form
    13,028.54/19,542.81 = 3,167.82/x
  3. Step 3: Cross multiply
    13,028.54x = 19,542.81 × 3,167.82
  4. Step 4: Simplify right side
    13,028.54x = 61,908,104.37
  5. Step 5: Solve for x
    x = 61,908,104.37/13,028.54
  6. Step 6: Final answer
    x = 4,751.73

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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.