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Finding the Fourth Proportional to 25,629.84, 38,446.92 and 8,099.28

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Solution

The fourth proportional to 25,629.84, 38,446.92 and 8,099.28 is: 12,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,629.84 : 38,446.92 = 8,099.28 : x
  2. Step 2: Convert to fraction form
    25,629.84/38,446.92 = 8,099.28/x
  3. Step 3: Cross multiply
    25,629.84x = 38,446.92 × 8,099.28
  4. Step 4: Simplify right side
    25,629.84x = 311,392,370.22
  5. Step 5: Solve for x
    x = 311,392,370.22/25,629.84
  6. Step 6: Final answer
    x = 12,149.60

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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.