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Finding the Fourth Proportional to 25,880.96, 38,825.04 and 8,344.88

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Solution

The fourth proportional to 25,880.96, 38,825.04 and 8,344.88 is: 12,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880.96 : 38,825.04 = 8,344.88 : x
  2. Step 2: Convert to fraction form
    25,880.96/38,825.04 = 8,344.88/x
  3. Step 3: Cross multiply
    25,880.96x = 38,825.04 × 8,344.88
  4. Step 4: Simplify right side
    25,880.96x = 323,990,299.80
  5. Step 5: Solve for x
    x = 323,990,299.80/25,880.96
  6. Step 6: Final answer
    x = 12,518.48

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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.