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Finding the Fourth Proportional to 25,937.61, 38,912.10 and 8,409.21

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Solution

The fourth proportional to 25,937.61, 38,912.10 and 8,409.21 is: 12,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,937.61 : 38,912.10 = 8,409.21 : x
  2. Step 2: Convert to fraction form
    25,937.61/38,912.10 = 8,409.21/x
  3. Step 3: Cross multiply
    25,937.61x = 38,912.10 × 8,409.21
  4. Step 4: Simplify right side
    25,937.61x = 327,220,020.44
  5. Step 5: Solve for x
    x = 327,220,020.44/25,937.61
  6. Step 6: Final answer
    x = 12,615.66

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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.