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Finding the Fourth Proportional to 13,782.78, 19,021.88 and 8,193.78

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Solution

The fourth proportional to 13,782.78, 19,021.88 and 8,193.78 is: 11,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.78 : 19,021.88 = 8,193.78 : x
  2. Step 2: Convert to fraction form
    13,782.78/19,021.88 = 8,193.78/x
  3. Step 3: Cross multiply
    13,782.78x = 19,021.88 × 8,193.78
  4. Step 4: Simplify right side
    13,782.78x = 155,861,099.91
  5. Step 5: Solve for x
    x = 155,861,099.91/13,782.78
  6. Step 6: Final answer
    x = 11,308.39

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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.