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Finding the Fourth Proportional to 13,819.67, 19,074.23 and 8,782.91

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Solution

The fourth proportional to 13,819.67, 19,074.23 and 8,782.91 is: 12,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.67 : 19,074.23 = 8,782.91 : x
  2. Step 2: Convert to fraction form
    13,819.67/19,074.23 = 8,782.91/x
  3. Step 3: Cross multiply
    13,819.67x = 19,074.23 × 8,782.91
  4. Step 4: Simplify right side
    13,819.67x = 167,527,245.41
  5. Step 5: Solve for x
    x = 167,527,245.41/13,819.67
  6. Step 6: Final answer
    x = 12,122.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.