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Finding the Fourth Proportional to 13,819.40, 19,073.24 and 8,153.80

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Solution

The fourth proportional to 13,819.40, 19,073.24 and 8,153.80 is: 11,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.40 : 19,073.24 = 8,153.80 : x
  2. Step 2: Convert to fraction form
    13,819.40/19,073.24 = 8,153.80/x
  3. Step 3: Cross multiply
    13,819.40x = 19,073.24 × 8,153.80
  4. Step 4: Simplify right side
    13,819.40x = 155,519,384.31
  5. Step 5: Solve for x
    x = 155,519,384.31/13,819.40
  6. Step 6: Final answer
    x = 11,253.70

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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.