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Finding the Fourth Proportional to 13,610.73, 20,424 and 5,296.49

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Solution

The fourth proportional to 13,610.73, 20,424 and 5,296.49 is: 7,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.73 : 20,424 = 5,296.49 : x
  2. Step 2: Convert to fraction form
    13,610.73/20,424 = 5,296.49/x
  3. Step 3: Cross multiply
    13,610.73x = 20,424 × 5,296.49
  4. Step 4: Simplify right side
    13,610.73x = 108,175,409.64
  5. Step 5: Solve for x
    x = 108,175,409.64/13,610.73
  6. Step 6: Final answer
    x = 7,947.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.