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Finding the Fourth Proportional to 19,553.80, 29,180.09 and 16,097.80

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Solution

The fourth proportional to 19,553.80, 29,180.09 and 16,097.80 is: 24,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,553.80 : 29,180.09 = 16,097.80 : x
  2. Step 2: Convert to fraction form
    19,553.80/29,180.09 = 16,097.80/x
  3. Step 3: Cross multiply
    19,553.80x = 29,180.09 × 16,097.80
  4. Step 4: Simplify right side
    19,553.80x = 469,735,252.80
  5. Step 5: Solve for x
    x = 469,735,252.80/19,553.80
  6. Step 6: Final answer
    x = 24,022.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.