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Finding the Fourth Proportional to 25,805.36, 38,708.88 and 8,272.96

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Solution

The fourth proportional to 25,805.36, 38,708.88 and 8,272.96 is: 12,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.36 : 38,708.88 = 8,272.96 : x
  2. Step 2: Convert to fraction form
    25,805.36/38,708.88 = 8,272.96/x
  3. Step 3: Cross multiply
    25,805.36x = 38,708.88 × 8,272.96
  4. Step 4: Simplify right side
    25,805.36x = 320,237,015.88
  5. Step 5: Solve for x
    x = 320,237,015.88/25,805.36
  6. Step 6: Final answer
    x = 12,409.71

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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.