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Finding the Fourth Proportional to 25,611.92, 38,424.05 and 8,081.70

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Solution

The fourth proportional to 25,611.92, 38,424.05 and 8,081.70 is: 12,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,611.92 : 38,424.05 = 8,081.70 : x
  2. Step 2: Convert to fraction form
    25,611.92/38,424.05 = 8,081.70/x
  3. Step 3: Cross multiply
    25,611.92x = 38,424.05 × 8,081.70
  4. Step 4: Simplify right side
    25,611.92x = 310,531,644.89
  5. Step 5: Solve for x
    x = 310,531,644.89/25,611.92
  6. Step 6: Final answer
    x = 12,124.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.