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Finding the Fourth Proportional to 13,819.24, 19,067.70 and 8,153.70

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Solution

The fourth proportional to 13,819.24, 19,067.70 and 8,153.70 is: 11,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.24 : 19,067.70 = 8,153.70 : x
  2. Step 2: Convert to fraction form
    13,819.24/19,067.70 = 8,153.70/x
  3. Step 3: Cross multiply
    13,819.24x = 19,067.70 × 8,153.70
  4. Step 4: Simplify right side
    13,819.24x = 155,472,305.49
  5. Step 5: Solve for x
    x = 155,472,305.49/13,819.24
  6. Step 6: Final answer
    x = 11,250.42

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