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Finding the Fourth Proportional to 25,263.62, 37,863 and 12,096.26

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Solution

The fourth proportional to 25,263.62, 37,863 and 12,096.26 is: 18,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,263.62 : 37,863 = 12,096.26 : x
  2. Step 2: Convert to fraction form
    25,263.62/37,863 = 12,096.26/x
  3. Step 3: Cross multiply
    25,263.62x = 37,863 × 12,096.26
  4. Step 4: Simplify right side
    25,263.62x = 458,000,692.38
  5. Step 5: Solve for x
    x = 458,000,692.38/25,263.62
  6. Step 6: Final answer
    x = 18,128.86

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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.