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Finding the Fourth Proportional to 13,179.50, 19,771.07 and 4,416.92

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Solution

The fourth proportional to 13,179.50, 19,771.07 and 4,416.92 is: 6,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.50 : 19,771.07 = 4,416.92 : x
  2. Step 2: Convert to fraction form
    13,179.50/19,771.07 = 4,416.92/x
  3. Step 3: Cross multiply
    13,179.50x = 19,771.07 × 4,416.92
  4. Step 4: Simplify right side
    13,179.50x = 87,327,234.50
  5. Step 5: Solve for x
    x = 87,327,234.50/13,179.50
  6. Step 6: Final answer
    x = 6,625.99

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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.