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Finding the Fourth Proportional to 18,136.35, 27,209.12 and 8,780.85

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Solution

The fourth proportional to 18,136.35, 27,209.12 and 8,780.85 is: 13,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136.35 : 27,209.12 = 8,780.85 : x
  2. Step 2: Convert to fraction form
    18,136.35/27,209.12 = 8,780.85/x
  3. Step 3: Cross multiply
    18,136.35x = 27,209.12 × 8,780.85
  4. Step 4: Simplify right side
    18,136.35x = 238,919,157.45
  5. Step 5: Solve for x
    x = 238,919,157.45/18,136.35
  6. Step 6: Final answer
    x = 13,173.50

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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.