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Finding the Fourth Proportional to 25,748.92, 38,620.14 and 8,217.28

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Solution

The fourth proportional to 25,748.92, 38,620.14 and 8,217.28 is: 12,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.92 : 38,620.14 = 8,217.28 : x
  2. Step 2: Convert to fraction form
    25,748.92/38,620.14 = 8,217.28/x
  3. Step 3: Cross multiply
    25,748.92x = 38,620.14 × 8,217.28
  4. Step 4: Simplify right side
    25,748.92x = 317,352,504.02
  5. Step 5: Solve for x
    x = 317,352,504.02/25,748.92
  6. Step 6: Final answer
    x = 12,324.89

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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.