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Finding the Fourth Proportional to 25,096.08, 37,638 and 8,451.78

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Solution

The fourth proportional to 25,096.08, 37,638 and 8,451.78 is: 12,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.08 : 37,638 = 8,451.78 : x
  2. Step 2: Convert to fraction form
    25,096.08/37,638 = 8,451.78/x
  3. Step 3: Cross multiply
    25,096.08x = 37,638 × 8,451.78
  4. Step 4: Simplify right side
    25,096.08x = 318,108,095.64
  5. Step 5: Solve for x
    x = 318,108,095.64/25,096.08
  6. Step 6: Final answer
    x = 12,675.61

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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.