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Finding the Fourth Proportional to 13,601.25, 18,771.46 and 7,634.85

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Solution

The fourth proportional to 13,601.25, 18,771.46 and 7,634.85 is: 10,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.25 : 18,771.46 = 7,634.85 : x
  2. Step 2: Convert to fraction form
    13,601.25/18,771.46 = 7,634.85/x
  3. Step 3: Cross multiply
    13,601.25x = 18,771.46 × 7,634.85
  4. Step 4: Simplify right side
    13,601.25x = 143,317,281.38
  5. Step 5: Solve for x
    x = 143,317,281.38/13,601.25
  6. Step 6: Final answer
    x = 10,537.07

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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.