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Finding the Fourth Proportional to 25,772.63, 38,660.40 and 8,004.97

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Solution

The fourth proportional to 25,772.63, 38,660.40 and 8,004.97 is: 12,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,772.63 : 38,660.40 = 8,004.97 : x
  2. Step 2: Convert to fraction form
    25,772.63/38,660.40 = 8,004.97/x
  3. Step 3: Cross multiply
    25,772.63x = 38,660.40 × 8,004.97
  4. Step 4: Simplify right side
    25,772.63x = 309,475,245.54
  5. Step 5: Solve for x
    x = 309,475,245.54/25,772.63
  6. Step 6: Final answer
    x = 12,007.91

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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.