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Finding the Fourth Proportional to 25,772.25, 38,659.84 and 8,004.59

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Solution

The fourth proportional to 25,772.25, 38,659.84 and 8,004.59 is: 12,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.25 : 38,659.84 = 8,004.59 : x
  2. Step 2: Convert to fraction form
    25,772.25/38,659.84 = 8,004.59/x
  3. Step 3: Cross multiply
    25,772.25x = 38,659.84 × 8,004.59
  4. Step 4: Simplify right side
    25,772.25x = 309,456,245.30
  5. Step 5: Solve for x
    x = 309,456,245.30/25,772.25
  6. Step 6: Final answer
    x = 12,007.34

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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.