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Finding the Fourth Proportional to 19,819.50, 29,704.95 and 11,917.14

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Solution

The fourth proportional to 19,819.50, 29,704.95 and 11,917.14 is: 17,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.50 : 29,704.95 = 11,917.14 : x
  2. Step 2: Convert to fraction form
    19,819.50/29,704.95 = 11,917.14/x
  3. Step 3: Cross multiply
    19,819.50x = 29,704.95 × 11,917.14
  4. Step 4: Simplify right side
    19,819.50x = 353,998,047.84
  5. Step 5: Solve for x
    x = 353,998,047.84/19,819.50
  6. Step 6: Final answer
    x = 17,861.10

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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.