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Finding the Fourth Proportional to 13,524.73, 20,289.03 and 4,165.54

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Solution

The fourth proportional to 13,524.73, 20,289.03 and 4,165.54 is: 6,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.73 : 20,289.03 = 4,165.54 : x
  2. Step 2: Convert to fraction form
    13,524.73/20,289.03 = 4,165.54/x
  3. Step 3: Cross multiply
    13,524.73x = 20,289.03 × 4,165.54
  4. Step 4: Simplify right side
    13,524.73x = 84,514,766.03
  5. Step 5: Solve for x
    x = 84,514,766.03/13,524.73
  6. Step 6: Final answer
    x = 6,248.91

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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.