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Finding the Fourth Proportional to 25,755.52, 38,632.56 and 8,226.40

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Solution

The fourth proportional to 25,755.52, 38,632.56 and 8,226.40 is: 12,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755.52 : 38,632.56 = 8,226.40 : x
  2. Step 2: Convert to fraction form
    25,755.52/38,632.56 = 8,226.40/x
  3. Step 3: Cross multiply
    25,755.52x = 38,632.56 × 8,226.40
  4. Step 4: Simplify right side
    25,755.52x = 317,806,891.58
  5. Step 5: Solve for x
    x = 317,806,891.58/25,755.52
  6. Step 6: Final answer
    x = 12,339.37

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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.