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Finding the Fourth Proportional to 25,940.96, 38,915.04 and 8,405.12

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Solution

The fourth proportional to 25,940.96, 38,915.04 and 8,405.12 is: 12,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,940.96 : 38,915.04 = 8,405.12 : x
  2. Step 2: Convert to fraction form
    25,940.96/38,915.04 = 8,405.12/x
  3. Step 3: Cross multiply
    25,940.96x = 38,915.04 × 8,405.12
  4. Step 4: Simplify right side
    25,940.96x = 327,085,581.00
  5. Step 5: Solve for x
    x = 327,085,581.00/25,940.96
  6. Step 6: Final answer
    x = 12,608.85

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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.