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Finding the Fourth Proportional to 18,296.50, 25,249.26 and 9,913

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Solution

The fourth proportional to 18,296.50, 25,249.26 and 9,913 is: 13,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296.50 : 25,249.26 = 9,913 : x
  2. Step 2: Convert to fraction form
    18,296.50/25,249.26 = 9,913/x
  3. Step 3: Cross multiply
    18,296.50x = 25,249.26 × 9,913
  4. Step 4: Simplify right side
    18,296.50x = 250,295,914.38
  5. Step 5: Solve for x
    x = 250,295,914.38/18,296.50
  6. Step 6: Final answer
    x = 13,679.99

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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.