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Finding the Fourth Proportional to 25,800.48, 38,704.32 and 8,272.08

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Solution

The fourth proportional to 25,800.48, 38,704.32 and 8,272.08 is: 12,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.48 : 38,704.32 = 8,272.08 : x
  2. Step 2: Convert to fraction form
    25,800.48/38,704.32 = 8,272.08/x
  3. Step 3: Cross multiply
    25,800.48x = 38,704.32 × 8,272.08
  4. Step 4: Simplify right side
    25,800.48x = 320,165,231.39
  5. Step 5: Solve for x
    x = 320,165,231.39/25,800.48
  6. Step 6: Final answer
    x = 12,409.27

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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.