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Finding the Fourth Proportional to 17,182.54, 25,777.84 and 5,335.70

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Solution

The fourth proportional to 17,182.54, 25,777.84 and 5,335.70 is: 8,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.54 : 25,777.84 = 5,335.70 : x
  2. Step 2: Convert to fraction form
    17,182.54/25,777.84 = 5,335.70/x
  3. Step 3: Cross multiply
    17,182.54x = 25,777.84 × 5,335.70
  4. Step 4: Simplify right side
    17,182.54x = 137,542,757.41
  5. Step 5: Solve for x
    x = 137,542,757.41/17,182.54
  6. Step 6: Final answer
    x = 8,004.80

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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.