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Finding the Fourth Proportional to 13,840.87, 19,100.48 and 7,553.38

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Solution

The fourth proportional to 13,840.87, 19,100.48 and 7,553.38 is: 10,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.87 : 19,100.48 = 7,553.38 : x
  2. Step 2: Convert to fraction form
    13,840.87/19,100.48 = 7,553.38/x
  3. Step 3: Cross multiply
    13,840.87x = 19,100.48 × 7,553.38
  4. Step 4: Simplify right side
    13,840.87x = 144,273,183.62
  5. Step 5: Solve for x
    x = 144,273,183.62/13,840.87
  6. Step 6: Final answer
    x = 10,423.71

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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.